Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
04
01
Quadratic $alpha$-functional equations
1
9
EN
Choonkil
Park
0000-0001-6329-8228
Research nstitute for natural sciences,
Hanyang University Seoul 04763,
Korea
baak@hanyang.ac.kr
Sang Og
Kim
Department of Mathematics
Hallym University
Chuncheon 24252
Korea
sokim@hallym.ac.kr
10.22075/ijnaa.2017.1066.1218
In this paper, we solve the quadratic $alpha$-functional equations $2f(x) + 2f(y) = f(x + y) + alpha^{-2}f(alpha(x-y)); (0.1)$ where $alpha$ is a fixed non-Archimedean number with $alpha^{-2}neq 3$. Using the fixed point method and the direct method, we prove the Hyers-Ulam stability of the quadratic $alpha$-functional equation (0.1) in non-Archimedean Banach spaces.
Hyers-Ulam stability,non-Archimedean normed space,direct method,Fixed point,quadratic $alpha$-functional equation
https://ijnaa.semnan.ac.ir/article_2351.html
https://ijnaa.semnan.ac.ir/article_2351_0cc225d42285c772edd3782614976e89.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
04
01
The operators over the GIFS
11
21
EN
Ezzatallah
Baloui Jamkhaneh
Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
e_baloui2008@yahoo.com
10.22075/ijnaa.2017.11099.1542
In this paper, newly defined level operators and modal-like operators over extensional generalized intuitionistic fuzzy sets (GIFSB) are proposed. Some of the basic properties of the new operators are discussed.
Generalized intuitionistic fuzzy sets,intuitionistic fuzzy sets,modal-like operators,level operators
https://ijnaa.semnan.ac.ir/article_2402.html
https://ijnaa.semnan.ac.ir/article_2402_aa76bd23f45666bcc4956b21e9d4975a.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
04
30
On genuine Lupac{s}-Beta operators and modulus of continuity
23
32
EN
Vijay
Gupta
Netaji Subhas Institute of Technology
New Delhi, India
vijaygupta2001@hotmail.com
Th.M.
Rassias
Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece
trassias@math.ntua.gr
Ekta
Pandey
Department of Mathematics, IMS Engineering College Ghaziabad-201009, (UP), India
ektapande@gmail.com
10.22075/ijnaa.2017.10557.1508
In the present article we discuss approximation properties of genuine Lupac{s}-Beta operators of integral type. We establish quantitative asymptotic formulae and a direct estimate in terms of Ditzian-Totik modulus of continuity. Finally we mention results on the weighted modulus of continuity for the genuine operators.
factorial polynomials,Beta basis function,direct estimates,weighted modulus of continuity,$K$-functionals
https://ijnaa.semnan.ac.ir/article_2307.html
https://ijnaa.semnan.ac.ir/article_2307_251220725692ce599b98103f8f8d9cb7.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
05
05
Stability for certain subclasses of harmonic univalent functions
33
45
EN
Ali
Ebadian
Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, Iran
ebadian.ali@gmail.com
Saman
Azizi
Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, Iran
azizi86@yahoo.com
Shahram
Najafzadeh
Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, Iran
najafzadeh1234@yahoo.ie
10.22075/ijnaa.2017.2405
In this paper, the problem of stability for certain subclasses of harmonic univalent functions is investigated. Some lower bounds for the radius of stability of these subclasses are found.
Stability of the convolution,Integral convolution,Harmonic univalent,starlike and convex functions
https://ijnaa.semnan.ac.ir/article_2405.html
https://ijnaa.semnan.ac.ir/article_2405_54526c108d6aa80a97f3ae45556c5eb9.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
04
01
Hermite-Hadamard inequality for geometrically quasiconvex functions on co-ordinates
47
60
EN
Ali
Barani
Department of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, Iran
barani.a@lu.ac.ir
Fatemeh
Malmir
Department of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, Iran
malmir.fa@fs.lu.ac.ir
10.22075/ijnaa.2016.483
In this paper we introduce the concept of geometrically quasiconvex functions on the co-ordinates and establish some Hermite-Hadamard type integral inequalities for functions defined on rectangles in the plane. Some inequalities for product of two geometrically quasiconvex functions on the co-ordinates are considered.
Hermite-Hadamard inequality,convex functions on co-ordinates,geometrically quasiconvex functions
https://ijnaa.semnan.ac.ir/article_483.html
https://ijnaa.semnan.ac.ir/article_483_550a263fc24bc744472c0dbaf671d46c.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
04
01
Study on efficiency of the Adomian decomposition method for stochastic differential equations
61
68
EN
Kazem
Nouri
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
knouri@semnan.ac.ir
10.22075/ijnaa.2016.484
Many time-varying phenomena of various fields in science and engineering can be modeled as a stochastic differential equations, so investigation of conditions for existence of solution and obtain the analytical and numerical solutions of them are important. In this paper, the Adomian decomposition method for solution of the stochastic differential equations are improved. Uniqueness and convergence of their adapted solutions are reviewed. The efficiency of the method is demonstrated through the two numerical experiments.
Stochastic differential equation,stochastic Adomian decomposition method,Ito formula
https://ijnaa.semnan.ac.ir/article_484.html
https://ijnaa.semnan.ac.ir/article_484_4f610d5f55a6031e073c4611c3719299.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
05
A spline collocation method for integrating a class of chemical reactor equations
69
80
EN
Abdelmajid
Elhajaji
ENCG El Jadida
a_elhajaji@yahoo.fr
Nadia
Barje
LMC Laboratory, FST, University of Sultan Moulay Slimane, Beni-Mellal, Morocco
nbarje@yahoo.fr
Abdelhafid
Serghini
MATSI Laboratory, ESTO, University Mohammed Premier, Oujda, Morocco
sergabdel@yahoo.fr
Khalid
Hilal
LMC Laboratory, FST, University of Sultan Moulay Slimane, Beni-Mellal, Morocco
hilal_khalid@yahoo.fr
El Bekkaye
Mermri
Department of Mathematics and Computer Science, FS, University Mohammed Premier, Oujda, Morocco
mermri@hotmail.com
10.22075/ijnaa.2017.1653.1436
. In this paper, we develop a quadratic spline collocation method for integrating the nonlinear partial differential equations (PDEs) of a plug flow reactor model. The method is proposed in order to be used for the operation of control design and/or numerical simulations. We first present the Crank-Nicolson method to temporally discretize the state variable. Then, we develop and analyze the proposed spline collocation method for the spatial discretization. The design of the collocation method is interpreted as one order error convergent. This scheme is applied on some test examples, the numerical results illustrate the efficiency of the method and confirm the theoretical behavior of the rates of convergence.
Partial differential equations,Distributed parameter systems,Plus flow reactors,Perturbed systems,Spline collocation method
https://ijnaa.semnan.ac.ir/article_2495.html
https://ijnaa.semnan.ac.ir/article_2495_adb58540af82056f951db7c7fef91870.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
04
10
Uncertainty in linear fractional transportation problem
81
93
EN
Mohammad Reza
Safi
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
safi_mohammadreza@yahoo.com
Seyyed Mojtaba
Ghasemi
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
ghasemi59@gmail.com
10.22075/ijnaa.2016.504
In this paper, we study the linear fractional transportation problem with uncertain arameters. After recalling some definitions, concepts and theorems in uncertainty theory we present three approaches for solving this problem. First we consider the expected value of the objective function together with the expectation of satisfying constraints. Optimizing the expected value of the objective function with considering chance constrained method for the restrictions is our second approach. In the third approach we add the objective function to the constraints and solve again the problem by chance constrained method. A numerical example is solved by three approaches and their solutions are compaired.
Transportation Problem,Linear Fractional Programming,Un- certain Measure,Uncertain Variable,Uncertain Programming
https://ijnaa.semnan.ac.ir/article_504.html
https://ijnaa.semnan.ac.ir/article_504_5a23516c8827427da952623d3f103bcb.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
05
Dhage iteration method for PBVPs of nonlinear first order hybrid integro-differential equations
95
112
EN
Bapurao
Dhage
Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur, Maharashtra, India
bcdhage@gmail.com
10.22075/ijnaa.2017.997.1194
In this paper, author proves the algorithms for the existence as well as the approximation of solutions to a couple of periodic boundary value problems of nonlinear first order ordinary integro-differential equations using operator theoretic techniques in a partially ordered metric space. The main results rely on the Dhage iteration method embodied in the recent hybrid fixed point theorems of Dhage in a partially ordered normed linear space. The approximation of the solutions are obtained under weaker mixed partial continuity and partial Lipschitz conditions. Our hypotheses and abstract results are also illustrated by some numerical examples.
Hybrid differential equation,Hybrid fixed point theorem,Dhage iteration method,Existence and approximation theorems
https://ijnaa.semnan.ac.ir/article_2349.html
https://ijnaa.semnan.ac.ir/article_2349_b7c0d94e0bbcfba713b9b9348f61bcb3.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
05
The James and von Neumann-Jordan type constants and uniform normal structure in Banach spaces
113
122
EN
Mina
Dinarvand
Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran
dinarvand_mina@yahoo.com
10.22075/ijnaa.2017.2348
Recently, Takahashi has introduced the James and von Neumann-Jordan type constants. In this paper, we present some sufficient conditions for uniform normal structure and therefore the fixed point property of a Banach space in terms of the James and von Neumann-Jordan type constants and the Ptolemy constant. Our main results of the paper significantly generalize and improve many known results in the recent literature.
James type constant,von Neumann-Jordan type constant,Ptolemy constant,Fixed point property,Uniform normal structure
https://ijnaa.semnan.ac.ir/article_2348.html
https://ijnaa.semnan.ac.ir/article_2348_fc7c782f405f0e55f30d9c0a19a1e90d.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
06
Convergence of trajectories in infinite horizon optimization
123
131
EN
Sara
Hassani
Federation university of Australia
s.hassani@unsw.edu.au
Musa
Mammadov
Federation university of Australia
m.mammadov@federation.edu.au
10.22075/ijnaa.2017.1326.1327
In this paper, we investigate the convergence of a sequence of minimizing trajectories in infinite horizon optimization problems. The convergence is considered in the sense of ideals and their particular case called the statistical convergence. The optimality is defined as a total cost over the infinite horizon.
Infinite horizon optimization,Ideal convergence,statistical convergence
https://ijnaa.semnan.ac.ir/article_2496.html
https://ijnaa.semnan.ac.ir/article_2496_45dd23662834206d7ecfd588dc09e613.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
04
01
Some results on coupled fixed point and fixed point theory in partially ordered probabilistic like (quasi) Menger spaces
133
157
EN
Hamid
Shayanpour
0000-0002-6202-8143
Faculty of Mathematical Sciences, Department of Pure Mathematics,
University of Shahrekord, P. O. Box 88186-34141, Shahrekord, Iran.
h.shayanpour@sci.sku.ac.ir
Asiyeh
Nematizadeh
Faculty of Mathematical Sciences, Department of Pure Mathematics, University
of Shahrekord, P. O. Box 88186-34141, Shahrekord, Iran.
a.nematizadeh@yahoo.com
10.22075/ijnaa.2017.1064.1215
In this paper, we define the concept of probabilistic like Menger (probabilistic like quasi Menger) space (briefly, PLM-space (PLqM-space)). We present some coupled fixed point and fixed point results for certain contraction type maps in partially order PLM-spaces (PLqM- spaces).
Coupled fixed point,Partially ordered PLM-space (PLqM-space),Mixed monotone property
https://ijnaa.semnan.ac.ir/article_2350.html
https://ijnaa.semnan.ac.ir/article_2350_7593b3a47ec39cd8354660d43a2a3a78.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
04
01
On the metric triangle inequality
159
164
EN
Alexandre
Mihai Bica
Department of Mathematics and Informatics, University of Oradea, Universitatii Street no. 1, 410087 Oradea, Romania
abica@uoradea.ro
10.22075/ijnaa.2017.1602.1418
A non-contradictible axiomatic theory is constructed under the local reversibility of the metric triangle inequality. The obtained notion includes the metric spaces as particular cases and the generated metric topology is T$_{1}$-separated and generally, non-Hausdorff.
Generalized metric space,Triangle inequality,Separated topologies,non-Euclidean geometry
https://ijnaa.semnan.ac.ir/article_2497.html
https://ijnaa.semnan.ac.ir/article_2497_ec86ad0629d277b3dfc9ff8de6b43e4b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
04
01
Existence results for equilibrium problems under strong sign property
165
176
EN
Somaye
Jafari
Department of Mathematics, Razi University, Kermanshah
s.jafari.math@gmail.com
Ali
Farajzadeh
Department of Mathematics, Razi University, Kermanshah
farajzadehali@gmail.com
10.22075/ijnaa.2017.2498
This paper concerns equilibrium problems in real metric linear spaces. Considering a modified notion of upper sign property for bifunctions, we obtain the relationship between the solution sets of the local Minty equilibrium problem and the equilibrium problem, where the technical conditions on $f$ used in the literature are relaxed. The KKM technique is used to generalize and unify some existence results for the relaxed $mu$-quasimonotone equilibrium problems in the literature.
metric linear space,equilibrium problem,Minty equilibrium problem,strong upper sign property
https://ijnaa.semnan.ac.ir/article_2498.html
https://ijnaa.semnan.ac.ir/article_2498_1ac673c544179be70aa77273e99be930.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
06
Unsteady free convection oscillatory couette flow through a variable porous medium with concentration profile
177
186
EN
Surjan
Singh
DST-CIMS BHU Varanasi
surjan.singhbhu@gmail.com
Pawan
Kumar Sharma
Amity School Of Engineering And Technology, 580, Delhi Palam Vihar Road, Bijwasan, New Delhi 110061, India
drpawanksharma@yahoo.com
Kavindra
Nath Rai
IIT BHU, Varanasi
knrai.apm@itbhu.ac.in
Nagendra
Singh Tomer
Government College Hisar Haryana
tomer_ns@rediffmail.com
10.22075/ijnaa.2017.672.1107
In this paper we have studied the effect of free convection on the heat transfer and flow through variable porous medium which is bounded by two vertical parallel porous plates. In this study it is assume that free stream velocity oscillates with time about a constant mean. Periodic temperature is considered in the moving plate. Effect of different parameters on mean flow velocity, Transient velocity, Concentration profile and transient temperature studied in detail.
Coutte flow,variable porous medium,concentration profile,oscillatory plates
https://ijnaa.semnan.ac.ir/article_2499.html
https://ijnaa.semnan.ac.ir/article_2499_b3cd9cde6f5d728052f0bfa1991e4bcf.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
06
Almost n-Multiplicative Maps between Frechet Algebras
187
195
EN
Taher
Ghasemi Honary
Department of Mathematics, Kharazmi University, Tehran, Iran
honary@khu.ac.ir
Mashaalah
Omidi
Department of Basic Sciences, Kermanshah University of Technology, Kermanshah, Iran
m.omidi@kut.ac.ir
AmirHossein
Sanatpour
Department of Mathematics, Kharazmi University, Tehran, Iran
a_sanatpour@khu.ac.ir
10.22075/ijnaa.2017.2500
For the Fr'{e}chet algebras $(A, (p_k))$ and $(B, (q_k))$ and $n in mathbb{N}$, $ngeq 2$, a linear map $T:A rightarrow B$ is called textit{almost $n$-multiplicative}, with respect to $(p_k)$ and $(q_k)$, if there exists $varepsilongeq 0$ such that<br />$$q_k(Ta_1a_2cdots a_n-Ta_1Ta_2cdots Ta_n)leq varepsilon p_k(a_1) p_k(a_2)cdots p_k(a_n),$$<br />for each $kin mathbb{N}$ and $a_1, a_2, ldots, a_nin A$. The linear map $T$ is called textit{weakly almost $n$-multiplicative}, if there exists $varepsilongeq 0$ such that for every $kin mathbb{N}$ there exists $n(k)in mathbb{N}$ with<br />$$q_k(Ta_1a_2cdots a_n-Ta_1Ta_2cdots Ta_n)leq varepsilon p_{n(k)}(a_1) p_{n(k)}(a_2)cdots p_{n(k)}(a_n),$$<br />for each $k in mathbb{N}$ and $a_1, a_2, ldots, a_nin A$.<br />The linear map $T$ is called $n$-multiplicative if<br />$$Ta_{1}a_{2} cdots a_{n} = Ta_{1} Ta_{2} cdots Ta_{n},$$<br />for every $a_{1}, a_{2},ldots, a_{n} in A$.<br /><br />In this paper, we investigate automatic continuity of (weakly) almost $n$-multiplicative maps between certain classes of Fr'{e}chet algebras, including Banach algebras. We show that if $(A, (p_k))$ is a Fr'{e}chet algebra and $T: A rightarrow mathbb{C}$ is a weakly almost $n$-multiplicative linear functional, then either $T$ is $n$-multiplicative, or it is continuous. Moreover, if $(A, (p_k))$ and $(B, (q_k))$ are Fr'{e}chet algebras and $T:A rightarrow B$ is a continuous linear map, then under certain conditions $T$ is weakly almost $n$-multiplicative for each $ngeq 2$. In particular, every continuous linear functional on $A$ is weakly almost $n$-multiplicative for each $ngeq 2$.
multiplicative maps (homomorphisms),Almost multiplicative maps,automatic continuity,Frechet algebras,Banach algebras
https://ijnaa.semnan.ac.ir/article_2500.html
https://ijnaa.semnan.ac.ir/article_2500_05334ad00015c7183c16bcaeeaa21ae5.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
24
On the real quadratic fields with certain continued fraction expansions and fundamental units
197
208
EN
Ozen
Ozer
Department of Mathematics, Faculty of Science and Arts, Ki rklareli University, 39000-Ki rklareli, Turkey
ozenozer39@gmail.com
Ahmed
Khammash
Department of Mathematics, Al-Qura University, Makkah,21955, Saudi Arabia
aakhammash@uqu.edu.sa
10.22075/ijnaa.2017.1610.1420
The purpose of this paper is to investigate the real quadratic number fields $Q(sqrt{d})$ which contain the specific form of the continued fractions expansions of integral basis element where $dequiv 2,3( mod 4)$ is a square free positive integer. Besides, the present paper deals with determining the fundamental unit<br />$$epsilon _{d}=left(t_d+u_dsqrt{d}right) 2left.right > 1$$<br />and $n_d$ and $m_d$ Yokoi's $d$-invariants by reference to continued fraction expansion of integral basis element where $ell left({d}right)$ is a period length. Moreover, we mention class number for such fields. Also, we give some numerical results concluded in the tables.
Quadratic Field,Fundamental Unit,Continued Fraction Expansion,Class Number
https://ijnaa.semnan.ac.ir/article_2570.html
https://ijnaa.semnan.ac.ir/article_2570_f031084ca84601432b4d0a9b9ec8e67d.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
06
$C$-class and $F(psi,varphi)$-contractions on $M$-metric spaces
209
224
EN
Hossein
Monfared
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
monfared.h@gmail.com
Mahdi
Azhini
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
mahdi.azhini@gmail.com
Mehdi
Asadi
Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran
masadi.azu@gmail.com
10.22075/ijnaa.2017.1636.1429
Partial metric spaces were introduced by Matthews in 1994 as a part of the study of denotational semantics of data flow networks. In 2014 Asadi and {it et al.} [New Extension of $p$-Metric Spaces with Some fixed point Results on $M$-metric paces, J. Ineq. Appl. 2014 (2014): 18] extend the Partial metric spaces to $M$-metric spaces. In this work, we introduce the class of $F(psi,varphi)$-contractions and investigate the existence and uniqueness of fixed points for the new class $mathcal{C}$ in the setting of $M$-metric spaces. The theorems that we prove generalize many previously obtained results. We also give some examples showing that our theorems are indeed proper extensions.
Fixed point,Partial metric space,$M$-metric space
https://ijnaa.semnan.ac.ir/article_2502.html
https://ijnaa.semnan.ac.ir/article_2502_9859ace6f794b72f4e7dcfdcef8fbe62.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
04
01
Hermite-Hadamard inequalities for $mathbb{B}$-convex and $mathbb{B}^{-1}$-convex functions
225
233
EN
Ilknur
Yesilce
0000-0001-9841-0742
Mersin University, Faculty of Science and Letters, Department of Mathematics, 33343, Mersin, Turkey
ilknuryesilce@gmail.com
Gabil
Adilov
0000-0003-3012-6176
Akdeniz University, Faculty of Education, Department of Mathematics, 07058, Antalya, Turkey
gabiladilov@gmail.com
10.22075/ijnaa.2017.1621.1427
Hermite-Hadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, Hermite-Hadamard inequalities for $mathbb{B}$-convex and $mathbb{B}^{-1}$-convex functions are proven.
Hermite-Hadamard inequality,$mathbb{B}$-convex functions,$mathbb{B}^{-1}$-convex functions,abstract convexity
https://ijnaa.semnan.ac.ir/article_2503.html
https://ijnaa.semnan.ac.ir/article_2503_47aad633f8dde9d4ebbec7a4f5100c63.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
07
Some properties of analytic functions related with bounded positive real part
235
244
EN
Rahim
Kargar
Young Researchers and Elite Club, Urmia Branch, Islamic Azad University, Urmia, Iran
rkargar1983@gmail.com
Ali
Ebadian
Department of Mathematics, Payame Noor University, Iran
ebadian.ali@gmail.com
Janusz
Sokol
Department of Mathematics, Rzeszow University of Technology, Al. Powstancow Warszawy 12, 35-959 Rzeszow, Poland
jsokol@prz.edu.pl
10.22075/ijnaa.2017.1154.1308
In this paper, we define new subclass of analytic functions related with bounded positive real part, and coefficients estimates, duality and neighborhood are considered.
starlike function,duality,Hadamard product,subordination,neighborhood
https://ijnaa.semnan.ac.ir/article_2397.html
https://ijnaa.semnan.ac.ir/article_2397_5dc76a49635a49e0934c56bd1d62a67c.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
08
Strong and $Delta$-convergence theorems for total asymptotically nonexpansive mappings in CAT(0)
245
260
EN
G.S.
Saluja
Department of Mathematics, Govt. Nagarjuna P.G. College of Science, Raipur - 492010 (C.G.), India
saluja1963@gmail.com
Hemant Kumar
Nashine
0000-0002-0250-9172
Department of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas, USA
drhknashine@gmail.com
Yumnam Rohen
Singh
National Institute of Technology Manipur, Takyelpat, Imphal-795001, Manipur, India
ymnehor2008@yahoo.com
10.22075/ijnaa.2017.2504
In this work we use the Noor iteration process for total asymptotically nonexpansive mapping to establish the strong and $Delta$-convergence theorems in the framework of CAT(0) spaces. By doing this, some of the results existing in the current literature generalize, unify and extend.
total asymptotically nonexpansive mapping,$Delta$-convergence,strong convergence,Noor iteration process,CAT(0) space
https://ijnaa.semnan.ac.ir/article_2504.html
https://ijnaa.semnan.ac.ir/article_2504_4f42776057d80c7ee758a87c0e9d7781.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
11
A note on the Young type inequalities
261
267
EN
Leila
Nasiri
Department Mathematics, Lorestan University, Iran
leilanasiri468@gmail.com
Mahmood
Shakoori
Department Mathematics, Lorestan University, Iran
mahmoodshakoori@gmail.com
Wenshi
Liao
College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, P.R. China
liaowenshi@gmail.com
10.22075/ijnaa.2017.1231.1289
In this paper, we present some refinements of the famous Young type inequality. As application of our result, we obtain some matrix inequalities for the Hilbert-Schmidt norm and the trace norm. The results obtained in this paper can be viewed as refinement of the derived results by H. Kai [Young type inequalities for matrices, J. East China Norm. Univ. 4 (2012) 12--17].
Young inequality,Hilbert-Schmidt norm,Positive semidefinite matrices,Refinements
https://ijnaa.semnan.ac.ir/article_2506.html
https://ijnaa.semnan.ac.ir/article_2506_a808c7d7d539b34d6ab843f781924432.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
04
01
An inexact alternating direction method with SQP regularization for the structured variational inequalities
269
289
EN
Abdellah
Bnouhachem
Ibn Zohr University, ENSA, BP 1136, Agadir, Morocco
babedallah@yahoo.com
Th.M.
Rassias
Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece
trassias@math.ntua.gr
10.22075/ijnaa.2017.1860.1485
In this paper, we propose an inexact alternating direction method with square quadratic proximal (SQP) regularization for the structured variational inequalities. The predictor is obtained via solving SQP system approximately under significantly relaxed accuracy criterion and the new iterate is computed directly by an explicit formula derived from the original SQP method. Under appropriate conditions, the global convergence of the proposed method is proved. We show the $O(1/t)$ convergence rate for the inexact SQP alternating direction method. We also reported some numerical results to illustrate the efficiency of the proposed method.
Variational inequalities,monotone operator,square quadratic proximal method,logarithmic-quadratic proximal method,alternating direction method
https://ijnaa.semnan.ac.ir/article_2509.html
https://ijnaa.semnan.ac.ir/article_2509_9008cf901d3dc9e7ee50dae1dfcd52d0.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
12
Similarity measurement for describe user images in social media
291
299
EN
Alireza
Tavakoli Targhi
CS group of Mathematics department, Shahid Beheshti University, Tehran, Iran
a_tavakoli@sbu.ac.ir
10.22075/ijnaa.2017.10744.1522
Online social networks like Instagram are places for communication. Also, these media produce rich metadata which are useful for further analysis in many fields including health and cognitive science. Many researchers are using these metadata like hashtags, images, etc. to detect patterns of user activities. However, there are several serious ambiguities like how much reliable are these information. In this paper, we attempt to answer two main questions. Firstly, are image hashtags directly related to image concepts? Can image concepts being predicted using machine learning models? The results of our analysis based on 105000 images on Instagram show that user hashtags are hardly related to image concepts (only 10%of test cases). Second contribution of this paper is showing the suggested pre-trained model predicate image concepts much better (more than 50% of test cases) than user hashtags. Therefore, it is strongly recommended to social media researchers not to rely only on the user hashtags as a label of images or as a signal of information for their study. Alternatively, they can use machine learning methods line deep convolutional neural network model to describe images to extract more related contents. As a proof of concept, some results on food images are studied. We use few similarity measurements to compare result of human and deep convolutional neural network. These analysis is important because food is an important society health field.
Similarity Measurement Web mining,Health Topics,Computer vision,Machine Learning Models
https://ijnaa.semnan.ac.ir/article_2510.html
https://ijnaa.semnan.ac.ir/article_2510_d41d8cd98f00b204e9800998ecf8427e.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
12
Periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces
301
314
EN
Said
Melliani
Department of Mathematics, Faculty of Sciences and Technics, Sultan Moulay Slimane University, BP 523 Beni Mellal 23000, Morocco
saidmelliani@gmail.com
Lalla Saadia
Chadli
Department of Mathematics, Faculty of Sciences and Technics, Sultan Moulay Slimane University, BP 523 Beni Mellal 23000, Morocco
sa.chadli@yahoo.fr
Abdelati
El Allaoui
0000-0001-7197-4951
Department of Mathematics, Faculty of Sciences and Technics, Sultan Moulay Slimane University, BP 523 Beni Mellal 23000, Morocco
elallaoui199@gmail.com
10.22075/ijnaa.2017.1460.1370
This paper deals with the Periodic boundary value problems for Controlled nonlinear impulsive evolution equations. By using the theory of semigroup and fixed point methods, some conditions ensuring the existence and uniqueness. Finally, two examples are provided to demonstrate the effectiveness of the proposed results.
impulsive evolution equations,Periodic boundary value problems,Control,Mild solutions
https://ijnaa.semnan.ac.ir/article_2511.html
https://ijnaa.semnan.ac.ir/article_2511_9c928d75339bfb53c6c6d7d33589f99b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
12
Fixed and coincidence points for hybrid rational Geraghty contractive mappings in ordered $b$-metric spaces
315
329
EN
Arsalan
Ansari
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
mathanalsisamir4@gmail.com
Abdolrahman
Razani
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Postal code 34149-16818, Qazvin, Iran
razani@ipm.ir
Nawab
Hussain
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
nhusain@kau.edu.sa
10.22075/ijnaa.2016.453
In this paper, we present some fixed and coincidence point theorems for hybrid rational Geraghty contractive mappings in partially ordered $b$-metric spaces. Also, we derive certain coincidence point results for such contractions. An illustrative example is provided here to highlight our findings.
Fixed point,Coincidence point,ordered $b$-metric space
https://ijnaa.semnan.ac.ir/article_453.html
https://ijnaa.semnan.ac.ir/article_453_1af16f96e2bd98fc07f75a2ba92620bb.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
13
New integral inequalities for $s$-preinvex functions
331
336
EN
Badreddine
Meftah
0000-0002-0156-7864
Laboratoire des t\'{e}l\'{e}communications, Facult\'{e} des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria
badrimeftah@yahoo.fr
10.22075/ijnaa.2017.3084.1498
In this note, we give some estimate of the generalized quadrature formula of Gauss-Jacobi<br />$$underset{a}{overset{a+eta left( b,aright) }{int }}left( x-aright)^{p}left( a+eta left( b,aright) -xright) ^{q}fleft( xright) dx$$<br />in the cases where $f$ and $left| fright| ^{lambda }$ for $lambda >1$, are $s$-preinvex functions in the second sense.
Integral inequality,$s$-preinvex function,H"{o}lder inequality,power mean inequality
https://ijnaa.semnan.ac.ir/article_2513.html
https://ijnaa.semnan.ac.ir/article_2513_0bf0cb71a40e7530f29390a2af97814d.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
13
Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type
337
351
EN
Reza
Allahyari
Department of Mathematics, Mashhad Branch, Islamic Azad University,mashhad, Iran
rezaallahyari@mshdiau.ac.ir
Asadollah
Aghajani
School of Mathematics, Iran University of Science and Technology, Narmark, Tehran 16846 13114, Iran
aghajani@iust.ac.ir
10.22075/ijnaa.2017.1355.1334
In this brief note, using the technique of measures of noncompactness, we give some extensions of Darbo fixed point theorem. Also we prove an existence result for a quadratic integral equation of Hammerstein type on an unbounded interval in two variables which includes several classes of nonlinear integral equations of Hammerstein type. Furthermore, an example is presented to show the efficiency of our result.
Measure of noncompactness,Quadratic integral equation,Darbo fixed point theorem
https://ijnaa.semnan.ac.ir/article_2516.html
https://ijnaa.semnan.ac.ir/article_2516_53794ed15760aa0136631bfa489ca584.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
06
13
On new faster fixed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces
353
388
EN
Cristian
Alecsa
Babec s-Bolyai University, Department of Mathematics, Cluj-Napoca, Romania, Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania
cristian.alecsa@ictp.acad.ro
10.22075/ijnaa.2017.11144.1543
In this paper we present new iterative algorithms in convex metric spaces. We show that these iterative schemes are convergent to the fixed point of a single-valued contraction operator. Then we make the comparison of their rate of convergence. Additionally, numerical examples for these iteration processes are given.
convex metric space,Fixed point,iterative algorithm,rate of convergence,convex combination
https://ijnaa.semnan.ac.ir/article_2523.html
https://ijnaa.semnan.ac.ir/article_2523_4466d793e9cc175859682633bda03bb0.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
8
1
2017
04
01
The structure of ideals, point derivations, amenability and weak amenability of extended Lipschitz algebras
389
404
EN
Maliheh
Mayghani
Department of Mathematics, Payame Noor University, Tehran, 19359-3697, Iran
m_maighany@yahoo.com
Davood
Alimohammadi
0000-0002-9398-6213
Department of Mathematics, Faculty of Science, Arak University,
Arak, Iran
d-alimohammadi@araku.ac.ir
10.22075/ijnaa.2016.493
Let $(X,d)$ be a compact<br />metric space and let $K$ be a nonempty compact subset of $X$. Let $alpha in (0, 1]$ and let ${rm Lip}(X,K,d^ alpha)$ denote the Banach algebra of all continuous complex-valued functions $f$ on<br />$X$ for which<br />$$p_{(K,d^alpha)}(f)=sup{frac{|f(x)-f(y)|}{d^alpha(x,y)} : x,yin K , xneq y}<infty$$<br />when it is equipped with the algebra norm $||f||_{{rm Lip}(X, K, d^ {alpha})}= ||f||_X+ p_{(K,d^{alpha})}(f)$, where $||f||_X=sup{|f(x)|:~xin X }$. In this paper we first study the structure of certain ideals of ${rm Lip}(X,K,d^alpha)$. Next we show that if $K$ is infinite and ${rm int}(K)$ contains a limit point of $K$ then ${rm Lip}(X,K,d^alpha)$ has at least a nonzero continuous point derivation and applying this fact we prove that ${rm Lip}(X,K,d^alpha)$ is not weakly amenable and amenable.
Amenability,Banach function algebra,extended Lipschitz algebra,point derivation,weak amenability
https://ijnaa.semnan.ac.ir/article_493.html
https://ijnaa.semnan.ac.ir/article_493_c33ba9a36bbd03e49c6d1e1671e3f46e.pdf