eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-04-01
8
1
1
9
10.22075/ijnaa.2017.1066.1218
2351
Quadratic $alpha$-functional equations
Choonkil Park
baak@hanyang.ac.kr
1
Sang Og Kim
sokim@hallym.ac.kr
2
Research nstitute for natural sciences, Hanyang University Seoul 04763, Korea
Department of Mathematics
Hallym University
Chuncheon 24252
Korea
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.
https://ijnaa.semnan.ac.ir/article_2351_0cc225d42285c772edd3782614976e89.pdf
Hyers-Ulam stability
non-Archimedean normed space
direct method
Fixed point
quadratic $alpha$-functional equation
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-04-01
8
1
11
21
10.22075/ijnaa.2017.11099.1542
2402
The operators over the GIFS
Ezzatallah Baloui Jamkhaneh
e_baloui2008@yahoo.com
1
Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
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.
https://ijnaa.semnan.ac.ir/article_2402_aa76bd23f45666bcc4956b21e9d4975a.pdf
Generalized intuitionistic fuzzy sets
intuitionistic fuzzy sets
modal-like operators
level operators
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-04-30
8
1
23
32
10.22075/ijnaa.2017.10557.1508
2307
On genuine Lupac{s}-Beta operators and modulus of continuity
Vijay Gupta
vijaygupta2001@hotmail.com
1
Th.M. Rassias
trassias@math.ntua.gr
2
Ekta Pandey
ektapande@gmail.com
3
Netaji Subhas Institute of Technology New Delhi, India
Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece
Department of Mathematics, IMS Engineering College Ghaziabad-201009, (UP), India
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.
https://ijnaa.semnan.ac.ir/article_2307_251220725692ce599b98103f8f8d9cb7.pdf
factorial polynomials
Beta basis function
direct estimates
weighted modulus of continuity
$K$-functionals
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-05-05
8
1
33
45
10.22075/ijnaa.2017.2405
2405
Stability for certain subclasses of harmonic univalent functions
Ali Ebadian
ebadian.ali@gmail.com
1
Saman Azizi
azizi86@yahoo.com
2
Shahram Najafzadeh
najafzadeh1234@yahoo.ie
3
Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, Iran
Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, Iran
Department of Mathematics, Payame Noor University, P.O. BOX 19395-3697, Tehran, Iran
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.
https://ijnaa.semnan.ac.ir/article_2405_54526c108d6aa80a97f3ae45556c5eb9.pdf
Stability of the convolution
Integral convolution
Harmonic univalent
starlike and convex functions
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-04-01
8
1
47
60
10.22075/ijnaa.2016.483
483
Hermite-Hadamard inequality for geometrically quasiconvex functions on co-ordinates
Ali Barani
barani.a@lu.ac.ir
1
Fatemeh Malmir
malmir.fa@fs.lu.ac.ir
2
Department of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, Iran
Department of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, Iran
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.
https://ijnaa.semnan.ac.ir/article_483_550a263fc24bc744472c0dbaf671d46c.pdf
Hermite-Hadamard inequality
convex functions on co-ordinates
geometrically quasiconvex functions
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-04-01
8
1
61
68
10.22075/ijnaa.2016.484
484
Study on efficiency of the Adomian decomposition method for stochastic differential equations
Kazem Nouri
knouri@semnan.ac.ir
1
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
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.
https://ijnaa.semnan.ac.ir/article_484_4f610d5f55a6031e073c4611c3719299.pdf
Stochastic differential equation
stochastic Adomian decomposition method
Ito formula
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-05
8
1
69
80
10.22075/ijnaa.2017.1653.1436
2495
A spline collocation method for integrating a class of chemical reactor equations
Abdelmajid Elhajaji
a_elhajaji@yahoo.fr
1
Nadia Barje
nbarje@yahoo.fr
2
Abdelhafid Serghini
sergabdel@yahoo.fr
3
Khalid Hilal
hilal_khalid@yahoo.fr
4
El Bekkaye Mermri
mermri@hotmail.com
5
ENCG El Jadida
LMC Laboratory, FST, University of Sultan Moulay Slimane, Beni-Mellal, Morocco
MATSI Laboratory, ESTO, University Mohammed Premier, Oujda, Morocco
LMC Laboratory, FST, University of Sultan Moulay Slimane, Beni-Mellal, Morocco
Department of Mathematics and Computer Science, FS, University Mohammed Premier, Oujda, Morocco
. 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.
https://ijnaa.semnan.ac.ir/article_2495_adb58540af82056f951db7c7fef91870.pdf
Partial differential equations
Distributed parameter systems
Plus flow reactors
Perturbed systems
Spline collocation method
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-04-10
8
1
81
93
10.22075/ijnaa.2016.504
504
Uncertainty in linear fractional transportation problem
Mohammad Reza Safi
safi_mohammadreza@yahoo.com
1
Seyyed Mojtaba Ghasemi
ghasemi59@gmail.com
2
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
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.
https://ijnaa.semnan.ac.ir/article_504_5a23516c8827427da952623d3f103bcb.pdf
Transportation Problem
Linear Fractional Programming
Un- certain Measure
Uncertain Variable
Uncertain Programming
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-05
8
1
95
112
10.22075/ijnaa.2017.997.1194
2349
Dhage iteration method for PBVPs of nonlinear first order hybrid integro-differential equations
Bapurao Dhage
bcdhage@gmail.com
1
Kasubai, Gurukul Colony, Ahmedpur-413 515, Dist: Latur, Maharashtra, India
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.
https://ijnaa.semnan.ac.ir/article_2349_b7c0d94e0bbcfba713b9b9348f61bcb3.pdf
Hybrid differential equation
Hybrid fixed point theorem
Dhage iteration method
Existence and approximation theorems
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-05
8
1
113
122
10.22075/ijnaa.2017.2348
2348
The James and von Neumann-Jordan type constants and uniform normal structure in Banach spaces
Mina Dinarvand
dinarvand_mina@yahoo.com
1
Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran
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.
https://ijnaa.semnan.ac.ir/article_2348_fc7c782f405f0e55f30d9c0a19a1e90d.pdf
James type constant
von Neumann-Jordan type constant
Ptolemy constant
Fixed point property
Uniform normal structure
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-06
8
1
123
131
10.22075/ijnaa.2017.1326.1327
2496
Convergence of trajectories in infinite horizon optimization
Sara Hassani
s.hassani@unsw.edu.au
1
Musa Mammadov
m.mammadov@federation.edu.au
2
Federation university of Australia
Federation university of Australia
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.
https://ijnaa.semnan.ac.ir/article_2496_45dd23662834206d7ecfd588dc09e613.pdf
Infinite horizon optimization
Ideal convergence
statistical convergence
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-04-01
8
1
133
157
10.22075/ijnaa.2017.1064.1215
2350
Some results on coupled fixed point and fixed point theory in partially ordered probabilistic like (quasi) Menger spaces
Hamid Shayanpour
h.shayanpour@sci.sku.ac.ir
1
Asiyeh Nematizadeh
a.nematizadeh@yahoo.com
2
Faculty of Mathematical Sciences, Department of Pure Mathematics,
University of Shahrekord, P. O. Box 88186-34141, Shahrekord, Iran.
Faculty of Mathematical Sciences, Department of Pure Mathematics, University of Shahrekord, P. O. Box 88186-34141, Shahrekord, Iran.
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).
https://ijnaa.semnan.ac.ir/article_2350_7593b3a47ec39cd8354660d43a2a3a78.pdf
Coupled fixed point
Partially ordered PLM-space (PLqM-space)
Mixed monotone property
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-04-01
8
1
159
164
10.22075/ijnaa.2017.1602.1418
2497
On the metric triangle inequality
Alexandre Mihai Bica
abica@uoradea.ro
1
Department of Mathematics and Informatics, University of Oradea, Universitatii Street no. 1, 410087 Oradea, Romania
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.
https://ijnaa.semnan.ac.ir/article_2497_ec86ad0629d277b3dfc9ff8de6b43e4b.pdf
Generalized metric space
Triangle inequality
Separated topologies
non-Euclidean geometry
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-04-01
8
1
165
176
10.22075/ijnaa.2017.2498
2498
Existence results for equilibrium problems under strong sign property
Somaye Jafari
s.jafari.math@gmail.com
1
Ali Farajzadeh
farajzadehali@gmail.com
2
Department of Mathematics, Razi University, Kermanshah
Department of Mathematics, Razi University, Kermanshah
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.
https://ijnaa.semnan.ac.ir/article_2498_1ac673c544179be70aa77273e99be930.pdf
metric linear space
equilibrium problem
Minty equilibrium problem
strong upper sign property
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-06
8
1
177
186
10.22075/ijnaa.2017.672.1107
2499
Unsteady free convection oscillatory couette flow through a variable porous medium with concentration profile
Surjan Singh
surjan.singhbhu@gmail.com
1
Pawan Kumar Sharma
drpawanksharma@yahoo.com
2
Kavindra Nath Rai
knrai.apm@itbhu.ac.in
3
Nagendra Singh Tomer
tomer_ns@rediffmail.com
4
DST-CIMS BHU Varanasi
Amity School Of Engineering And Technology, 580, Delhi Palam Vihar Road, Bijwasan, New Delhi 110061, India
IIT BHU, Varanasi
Government College Hisar Haryana
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.
https://ijnaa.semnan.ac.ir/article_2499_b3cd9cde6f5d728052f0bfa1991e4bcf.pdf
Coutte flow
variable porous medium
concentration profile
oscillatory plates
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-06
8
1
187
195
10.22075/ijnaa.2017.2500
2500
Almost n-Multiplicative Maps between Frechet Algebras
Taher Ghasemi Honary
honary@khu.ac.ir
1
Mashaalah Omidi
m.omidi@kut.ac.ir
2
AmirHossein Sanatpour
a_sanatpour@khu.ac.ir
3
Department of Mathematics, Kharazmi University, Tehran, Iran
Department of Basic Sciences, Kermanshah University of Technology, Kermanshah, Iran
Department of Mathematics, Kharazmi University, Tehran, Iran
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 $ngeq 2$.
https://ijnaa.semnan.ac.ir/article_2500_05334ad00015c7183c16bcaeeaa21ae5.pdf
multiplicative maps (homomorphisms)
Almost multiplicative maps
automatic continuity
Frechet algebras
Banach algebras
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-24
8
1
197
208
10.22075/ijnaa.2017.1610.1420
2570
On the real quadratic fields with certain continued fraction expansions and fundamental units
Ozen Ozer
ozenozer39@gmail.com
1
Ahmed Khammash
aakhammash@uqu.edu.sa
2
Department of Mathematics, Faculty of Science and Arts, Ki rklareli University, 39000-Ki rklareli, Turkey
Department of Mathematics, Al-Qura University, Makkah,21955, Saudi Arabia
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.
https://ijnaa.semnan.ac.ir/article_2570_f031084ca84601432b4d0a9b9ec8e67d.pdf
Quadratic Field
Fundamental Unit
Continued Fraction Expansion
Class Number
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-06
8
1
209
224
10.22075/ijnaa.2017.1636.1429
2502
$C$-class and $F(psi,varphi)$-contractions on $M$-metric spaces
Hossein Monfared
monfared.h@gmail.com
1
Mahdi Azhini
mahdi.azhini@gmail.com
2
Mehdi Asadi
masadi.azu@gmail.com
3
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran
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.
https://ijnaa.semnan.ac.ir/article_2502_9859ace6f794b72f4e7dcfdcef8fbe62.pdf
Fixed point
Partial metric space
$M$-metric space
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-04-01
8
1
225
233
10.22075/ijnaa.2017.1621.1427
2503
Hermite-Hadamard inequalities for $mathbb{B}$-convex and $mathbb{B}^{-1}$-convex functions
Ilknur Yesilce
ilknuryesilce@gmail.com
1
Gabil Adilov
gabiladilov@gmail.com
2
Mersin University, Faculty of Science and Letters, Department of Mathematics, 33343, Mersin, Turkey
Akdeniz University, Faculty of Education, Department of Mathematics, 07058, Antalya, Turkey
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.
https://ijnaa.semnan.ac.ir/article_2503_47aad633f8dde9d4ebbec7a4f5100c63.pdf
Hermite-Hadamard inequality
$mathbb{B}$-convex functions
$mathbb{B}^{-1}$-convex functions
abstract convexity
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-07
8
1
235
244
10.22075/ijnaa.2017.1154.1308
2397
Some properties of analytic functions related with bounded positive real part
Rahim Kargar
rkargar1983@gmail.com
1
Ali Ebadian
ebadian.ali@gmail.com
2
Janusz Sokol
jsokol@prz.edu.pl
3
Young Researchers and Elite Club, Urmia Branch, Islamic Azad University, Urmia, Iran
Department of Mathematics, Payame Noor University, Iran
Department of Mathematics, Rzeszow University of Technology, Al. Powstancow Warszawy 12, 35-959 Rzeszow, Poland
In this paper, we define new subclass of analytic functions related with bounded positive real part, and coefficients estimates, duality and neighborhood are considered.
https://ijnaa.semnan.ac.ir/article_2397_5dc76a49635a49e0934c56bd1d62a67c.pdf
starlike function
duality
Hadamard product
subordination
neighborhood
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-08
8
1
245
260
10.22075/ijnaa.2017.2504
2504
Strong and $Delta$-convergence theorems for total asymptotically nonexpansive mappings in CAT(0)
G.S. Saluja
saluja1963@gmail.com
1
Hemant Kumar Nashine
drhknashine@gmail.com
2
Yumnam Rohen Singh
ymnehor2008@yahoo.com
3
Department of Mathematics, Govt. Nagarjuna P.G. College of Science, Raipur - 492010 (C.G.), India
Department of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas, USA
National Institute of Technology Manipur, Takyelpat, Imphal-795001, Manipur, India
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.
https://ijnaa.semnan.ac.ir/article_2504_4f42776057d80c7ee758a87c0e9d7781.pdf
total asymptotically nonexpansive mapping
$Delta$-convergence
strong convergence
Noor iteration process
CAT(0) space
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-11
8
1
261
267
10.22075/ijnaa.2017.1231.1289
2506
A note on the Young type inequalities
Leila Nasiri
leilanasiri468@gmail.com
1
Mahmood Shakoori
mahmoodshakoori@gmail.com
2
Wenshi Liao
liaowenshi@gmail.com
3
Department Mathematics, Lorestan University, Iran
Department Mathematics, Lorestan University, Iran
College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, P.R. China
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].
https://ijnaa.semnan.ac.ir/article_2506_a808c7d7d539b34d6ab843f781924432.pdf
Young inequality
Hilbert-Schmidt norm
Positive semidefinite matrices
Refinements
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-04-01
8
1
269
289
10.22075/ijnaa.2017.1860.1485
2509
An inexact alternating direction method with SQP regularization for the structured variational inequalities
Abdellah Bnouhachem
babedallah@yahoo.com
1
Th.M. Rassias
trassias@math.ntua.gr
2
Ibn Zohr University, ENSA, BP 1136, Agadir, Morocco
Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece
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.
https://ijnaa.semnan.ac.ir/article_2509_9008cf901d3dc9e7ee50dae1dfcd52d0.pdf
Variational inequalities
monotone operator
square quadratic proximal method
logarithmic-quadratic proximal method
alternating direction method
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-12
8
1
291
299
10.22075/ijnaa.2017.10744.1522
2510
Similarity measurement for describe user images in social media
Alireza Tavakoli Targhi
a_tavakoli@sbu.ac.ir
1
CS group of Mathematics department, Shahid Beheshti University, Tehran, Iran
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.
https://ijnaa.semnan.ac.ir/article_2510_d41d8cd98f00b204e9800998ecf8427e.pdf
Similarity Measurement Web mining
Health Topics
Computer vision
Machine Learning Models
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-12
8
1
301
314
10.22075/ijnaa.2017.1460.1370
2511
Periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces
Said Melliani
saidmelliani@gmail.com
1
Lalla Saadia Chadli
sa.chadli@yahoo.fr
2
Abdelati El Allaoui
elallaoui199@gmail.com
3
Department of Mathematics, Faculty of Sciences and Technics, Sultan Moulay Slimane University, BP 523 Beni Mellal 23000, Morocco
Department of Mathematics, Faculty of Sciences and Technics, Sultan Moulay Slimane University, BP 523 Beni Mellal 23000, Morocco
Department of Mathematics, Faculty of Sciences and Technics, Sultan Moulay Slimane University, BP 523 Beni Mellal 23000, Morocco
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.
https://ijnaa.semnan.ac.ir/article_2511_9c928d75339bfb53c6c6d7d33589f99b.pdf
impulsive evolution equations
Periodic boundary value problems
Control
Mild solutions
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-12
8
1
315
329
10.22075/ijnaa.2016.453
453
Fixed and coincidence points for hybrid rational Geraghty contractive mappings in ordered $b$-metric spaces
Arsalan Ansari
mathanalsisamir4@gmail.com
1
Abdolrahman Razani
razani@ipm.ir
2
Nawab Hussain
nhusain@kau.edu.sa
3
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Postal code 34149-16818, Qazvin, Iran
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
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.
https://ijnaa.semnan.ac.ir/article_453_1af16f96e2bd98fc07f75a2ba92620bb.pdf
Fixed point
Coincidence point
ordered $b$-metric space
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-13
8
1
331
336
10.22075/ijnaa.2017.3084.1498
2513
New integral inequalities for $s$-preinvex functions
Badreddine Meftah
badrimeftah@yahoo.fr
1
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
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.
https://ijnaa.semnan.ac.ir/article_2513_0bf0cb71a40e7530f29390a2af97814d.pdf
Integral inequality
$s$-preinvex function
H"{o}lder inequality
power mean inequality
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-13
8
1
337
351
10.22075/ijnaa.2017.1355.1334
2516
Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type
Reza Allahyari
rezaallahyari@mshdiau.ac.ir
1
Asadollah Aghajani
aghajani@iust.ac.ir
2
Department of Mathematics, Mashhad Branch, Islamic Azad University,mashhad, Iran
School of Mathematics, Iran University of Science and Technology, Narmark, Tehran 16846 13114, Iran
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.
https://ijnaa.semnan.ac.ir/article_2516_53794ed15760aa0136631bfa489ca584.pdf
Measure of noncompactness
Quadratic integral equation
Darbo fixed point theorem
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-06-13
8
1
353
388
10.22075/ijnaa.2017.11144.1543
2523
On new faster fixed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces
Cristian Alecsa
cristian.alecsa@ictp.acad.ro
1
Babe\c s-Bolyai University, Department of Mathematics, Cluj-Napoca, Romania, Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, Cluj-Napoca, Romania
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.
https://ijnaa.semnan.ac.ir/article_2523_4466d793e9cc175859682633bda03bb0.pdf
convex metric space
Fixed point
iterative algorithm
rate of convergence
convex combination
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2017-04-01
8
1
389
404
10.22075/ijnaa.2016.493
493
The structure of ideals, point derivations, amenability and weak amenability of extended Lipschitz algebras
Maliheh Mayghani
m_maighany@yahoo.com
1
Davood Alimohammadi
d-alimohammadi@araku.ac.ir
2
Department of Mathematics, Payame Noor University, Tehran, 19359-3697, Iran
Department of Mathematics, Faculty of Science, Arak University, Arak, Iran
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.
https://ijnaa.semnan.ac.ir/article_493_c33ba9a36bbd03e49c6d1e1671e3f46e.pdf
Amenability
Banach function algebra
extended Lipschitz algebra
point derivation
weak amenability