2017
8
1
0
0
Quadratic $alpha$functional equations
2
2
In this paper, we solve the quadratic $alpha$functional equations $2f(x) + 2f(y) = f(x + y) + alpha^{2}f(alpha(xy)); (0.1)$ where $alpha$ is a fixed nonArchimedean number with $alpha^{2}neq 3$. Using the fixed point method and the direct method, we prove the HyersUlam stability of the quadratic $alpha$functional equation (0.1) in nonArchimedean Banach spaces.
1

1
9


Choonkil
Park
Research nstitute for natural sciences,
Hanyang University Seoul 04763,
Korea
Research nstitute for natural sciences,
Hanyang
Iran
baak@hanyang.ac.kr


Sang Og
Kim
Department of Mathematics
Hallym University
Chuncheon 24252
Korea
Department of Mathematics
Hallym University
Chun
Iran
sokim@hallym.ac.kr
HyersUlam stability
nonArchimedean normed space
direct method
fixed point
quadratic $alpha$functional equation
The operators over the GIFS
2
2
In this paper, newly defined level operators and modallike operators over extensional generalized intuitionistic fuzzy sets (GIFSB) are proposed. Some of the basic properties of the new operators are discussed.
1

11
21


Ezzatallah
Baloui Jamkhaneh
Department of Statistics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran
Department of Statistics, Qaemshahr Branch,
Iran
e_baloui2008@yahoo.com
Generalized intuitionistic fuzzy sets
intuitionistic fuzzy sets
modallike operators
level operators
On genuine Lupac{s}Beta operators and modulus of continuity
2
2
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 DitzianTotik modulus of continuity. Finally we mention results on the weighted modulus of continuity for the genuine operators.
1

23
32


Vijay
Gupta
Netaji Subhas Institute of Technology
New Delhi, India
Netaji Subhas Institute of Technology
New
Iran
vijaygupta2001@hotmail.com


Th.M.
Rassias
Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece
Department of Mathematics, National Technical
Iran
trassias@math.ntua.gr


Ekta
Pandey
Department of Mathematics, IMS Engineering College Ghaziabad201009, (UP), India
Department of Mathematics, IMS Engineering
Iran
ektapande@gmail.com
factorial polynomials
Beta basis function
direct estimates
weighted modulus of continuity
$K$functionals
Stability for certain subclasses of harmonic univalent functions
2
2
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.
1

33
45


Ali
Ebadian
Department of Mathematics, Payame Noor University, P.O. BOX 193953697, Tehran, Iran
Department of Mathematics, Payame Noor University,
Iran
ebadian.ali@gmail.com


Saman
Azizi
Department of Mathematics, Payame Noor University, P.O. BOX 193953697, Tehran, Iran
Department of Mathematics, Payame Noor University,
Iran
azizi86@yahoo.com


Shahram
Najafzadeh
Department of Mathematics, Payame Noor University, P.O. BOX 193953697, Tehran, Iran
Department of Mathematics, Payame Noor University,
Iran
najafzadeh1234@yahoo.ie
Stability of the convolution
Integral convolution
Harmonic univalent
starlike and convex functions
HermiteHadamard inequality for geometrically quasiconvex functions on coordinates
2
2
In this paper we introduce the concept of geometrically quasiconvex functions on the coordinates and establish some HermiteHadamard type integral inequalities for functions defined on rectangles in the plane. Some inequalities for product of two geometrically quasiconvex functions on the coordinates are considered.
1

47
60


Ali
Barani
Department of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, Iran
Department of Mathematics, Lorestan University,
Iran
barani.a@lu.ac.ir


Fatemeh
Malmir
Department of Mathematics, Lorestan University, P. O. Box 465, Khoramabad, Iran
Department of Mathematics, Lorestan University,
Iran
malmir.fa@fs.lu.ac.ir
HermiteHadamard Inequality
convex functions on coordinates
geometrically quasiconvex functions
Study on efficiency of the Adomian decomposition method for stochastic differential equations
2
2
Many timevarying 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.
1

61
68


Kazem
Nouri
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195363, Iran
Department of Mathematics, Faculty of Mathematics,
Iran
knouri@semnan.ac.ir
Stochastic differential equation
stochastic Adomian decomposition method
Ito formula
A spline collocation method for integrating a class of chemical reactor equations
2
2
. 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 CrankNicolson 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.
1

69
80


Abdelmajid
Elhajaji
ENCG El Jadida
ENCG El Jadida
Iran
a_elhajaji@yahoo.fr


Nadia
Barje
LMC Laboratory, FST, University of Sultan Moulay Slimane, BeniMellal, Morocco
LMC Laboratory, FST, University of Sultan
Iran
nbarje@yahoo.fr


Abdelhafid
Serghini
MATSI Laboratory, ESTO, University Mohammed Premier, Oujda, Morocco
MATSI Laboratory, ESTO, University Mohammed
Iran
sergabdel@yahoo.fr


Khalid
Hilal
LMC Laboratory, FST, University of Sultan Moulay Slimane, BeniMellal, Morocco
LMC Laboratory, FST, University of Sultan
Iran
hilal_khalid@yahoo.fr


El Bekkaye
Mermri
Department of Mathematics and Computer Science, FS, University Mohammed Premier, Oujda, Morocco
Department of Mathematics and Computer Science,
Iran
mermri@hotmail.com
Partial differential equations
Distributed parameter systems
Plus flow reactors
Perturbed systems
Spline collocation method
Uncertainty in linear fractional transportation problem
2
2
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.
1

81
93


Mohammad Reza
Safi
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195363, Iran
Department of Mathematics, Faculty of Mathematics,
Iran
safi_mohammadreza@yahoo.com


Seyyed Mojtaba
Ghasemi
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195363, Iran
Department of Mathematics, Faculty of Mathematics,
Iran
ghasemi59@gmail.com
Transportation Problem
Linear Fractional Programming
Un certain Measure
Uncertain Variable
Uncertain Programming
Dhage iteration method for PBVPs of nonlinear first order hybrid integrodifferential equations
2
2
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 integrodifferential 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.
1

95
112


Bapurao
Dhage
Kasubai, Gurukul Colony, Ahmedpur413 515, Dist: Latur, Maharashtra, India
Kasubai, Gurukul Colony, Ahmedpur413 515,
Iran
bcdhage@gmail.com
Hybrid differential equation
Hybrid fixed point theorem
Dhage iteration method
Existence and approximation theorems
The James and von NeumannJordan type constants and uniform normal structure in Banach spaces
2
2
Recently, Takahashi has introduced the James and von NeumannJordan 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 NeumannJordan type constants and the Ptolemy constant. Our main results of the paper significantly generalize and improve many known results in the recent literature.
1

113
122


Mina
Dinarvand
Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran
Faculty of Mathematics, K. N. Toosi University
Iran
dinarvand_mina@yahoo.com
James type constant
von NeumannJordan type constant
Ptolemy constant
Fixed point property
Uniform normal structure
Convergence of trajectories in infinite horizon optimization
2
2
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.
1

123
131


Sara
Hassani
Federation university of Australia
Federation university of Australia
Iran
s.hassani@unsw.edu.au


Musa
Mammadov
Federation university of Australia
Federation university of Australia
Iran
m.mammadov@federation.edu.au
Infinite horizon optimization
Ideal convergence
statistical convergence
Some results on coupled fixed point and fixed point theory in partially ordered probabilistic like (quasi) Menger spaces
2
2
In this paper, we define the concept of probabilistic like Menger (probabilistic like quasi Menger) space (briefly, PLMspace (PLqMspace)). We present some coupled fixed point and fixed point results for certain contraction type maps in partially order PLMspaces (PLqM spaces).
1

133
157


Hamid
Shayanpour
Faculty of Mathematical Sciences, Department of Pure Mathematics,
University of Shahrekord, P. O. Box 8818634141, Shahrekord, Iran.
Faculty of Mathematical Sciences, Department
Iran
h.shayanpour@sci.sku.ac.ir


Asiyeh
Nematizadeh
Faculty of Mathematical Sciences, Department of Pure Mathematics, University
of Shahrekord, P. O. Box 8818634141, Shahrekord, Iran.
Faculty of Mathematical Sciences, Department
Iran
a.nematizadeh@yahoo.com
Coupled fixed point
Partially ordered PLMspace (PLqMspace)
Mixed monotone property
On the metric triangle inequality
2
2
A noncontradictible 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, nonHausdorff.
1

159
164


Alexandre
Mihai Bica
Department of Mathematics and Informatics, University of Oradea, Universitatii Street no. 1, 410087 Oradea, Romania
Department of Mathematics and Informatics,
Iran
abica@uoradea.ro
Generalized metric space
Triangle inequality
Separated topologies
nonEuclidean geometry
Existence results for equilibrium problems under strong sign property
2
2
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.
1

165
176


Somaye
Jafari
Department of Mathematics, Razi University, Kermanshah
Department of Mathematics, Razi University,
Iran
s.jafari.math@gmail.com


Ali
Farajzadeh
Department of Mathematics, Razi University, Kermanshah
Department of Mathematics, Razi University,
Iran
farajzadehali@gmail.com
metric linear space
equilibrium problem
Minty equilibrium problem
strong upper sign property
Unsteady free convection oscillatory couette flow through a variable porous medium with concentration profile
2
2
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.
1

177
186


Surjan
Singh
DSTCIMS BHU Varanasi
DSTCIMS BHU Varanasi
Iran
surjan.singhbhu@gmail.com


Pawan
Kumar Sharma
Amity School Of Engineering And Technology, 580, Delhi Palam Vihar Road, Bijwasan, New Delhi 110061, India
Amity School Of Engineering And Technology,
Iran
drpawanksharma@yahoo.com


Kavindra
Nath Rai
IIT BHU, Varanasi
IIT BHU, Varanasi
Iran
knrai.apm@itbhu.ac.in


Nagendra
Singh Tomer
Government College Hisar Haryana
Government College Hisar Haryana
Iran
tomer_ns@rediffmail.com
Coutte flow
variable porous medium
concentration profile
oscillatory plates
Almost nMultiplicative Maps between Frechet Algebras
2
2
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$$q_k(Ta_1a_2cdots a_nTa_1Ta_2cdots Ta_n)leq varepsilon p_k(a_1) p_k(a_2)cdots p_k(a_n),$$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$$q_k(Ta_1a_2cdots a_nTa_1Ta_2cdots Ta_n)leq varepsilon p_{n(k)}(a_1) p_{n(k)}(a_2)cdots p_{n(k)}(a_n),$$for each $k in mathbb{N}$ and $a_1, a_2, ldots, a_nin A$.The linear map $T$ is called $n$multiplicative if$$Ta_{1}a_{2} cdots a_{n} = Ta_{1} Ta_{2} cdots Ta_{n},$$for every $a_{1}, a_{2},ldots, a_{n} in A$.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 $ngeq 2$.
1

187
195


Taher
Ghasemi Honary
Department of Mathematics, Kharazmi University, Tehran, Iran
Department of Mathematics, Kharazmi University,
Iran
honary@khu.ac.ir


Mashaalah
Omidi
Department of Basic Sciences, Kermanshah University of Technology, Kermanshah, Iran
Department of Basic Sciences, Kermanshah
Iran
m.omidi@kut.ac.ir


AmirHossein
Sanatpour
Department of Mathematics, Kharazmi University, Tehran, Iran
Department of Mathematics, Kharazmi University,
Iran
a_sanatpour@khu.ac.ir
multiplicative maps (homomorphisms)
almost multiplicative maps
automatic continuity
Frechet algebras
Banach algebras
$C$class and $F(psi,varphi)$contractions on $M$metric spaces
2
2
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.
1

209
224


Hossein
Monfared
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Department of Mathematics, Science and Research
Iran
monfared.h@gmail.com


Mahdi
Azhini
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran
Department of Mathematics, Science and Research
Iran
mahdi.azhini@gmail.com


Mehdi
Asadi
Department of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iran
Department of Mathematics, Zanjan Branch,
Iran
masadi.azu@gmail.com
fixed point
Partial metric space
$M$metric space
HermiteHadamard inequalities for $mathbb{B}$convex and $mathbb{B}^{1}$convex functions
2
2
HermiteHadamard inequality is one of the fundamental applications of convex functions in Theory of Inequality. In this paper, HermiteHadamard inequalities for $mathbb{B}$convex and $mathbb{B}^{1}$convex functions are proven.
1

225
233


Ilknur
Yesilce
Mersin University, Faculty of Science and Letters, Department of Mathematics, 33343, Mersin, Turkey
Mersin University, Faculty of Science and
Iran
ilknuryesilce@gmail.com


Gabil
Adilov
Akdeniz University, Faculty of Education, Department of Mathematics, 07058, Antalya, Turkey
Akdeniz University, Faculty of Education,
Iran
gabiladilov@gmail.com
HermiteHadamard Inequality
$mathbb{B}$convex functions
$mathbb{B}^{1}$convex functions
abstract convexity
Some properties of analytic functions related with bounded positive real part
2
2
In this paper, we define new subclass of analytic functions related with bounded positive real part, and coefficients estimates, duality and neighborhood are considered.
1

235
244


Rahim
Kargar
Young Researchers and Elite Club, Urmia Branch, Islamic Azad University, Urmia, Iran
Young Researchers and Elite Club, Urmia Branch,
Iran
rkargar1983@gmail.com


Ali
Ebadian
Department of Mathematics, Payame Noor University, Iran
Department of Mathematics, Payame Noor University,
Iran
ebadian.ali@gmail.com


Janusz
Sokol
Department of Mathematics, Rzeszow University of Technology, Al. Powstancow Warszawy 12, 35959 Rzeszow, Poland
Department of Mathematics, Rzeszow University
Iran
jsokol@prz.edu.pl
starlike function
duality
Hadamard product
subordination
neighborhood
Strong and $Delta$convergence theorems for total asymptotically nonexpansive mappings in CAT(0)
2
2
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.
1

245
260


G.S.
Saluja
Department of Mathematics, Govt. Nagarjuna P.G. College of Science, Raipur  492010 (C.G.), India
Department of Mathematics, Govt. Nagarjuna
Iran
saluja1963@gmail.com


Hemant Kumar
Nashine
Department of Mathematics, Texas A & M University  Kingsville  783638202, Texas, USA
Department of Mathematics, Texas A &
Iran
drhknashine@gmail.com


Yumnam Rohen
Singh
National Institute of Technology Manipur, Takyelpat, Imphal795001, Manipur, India
National Institute of Technology Manipur,
Iran
ymnehor2008@yahoo.com
total asymptotically nonexpansive mapping
$Delta$convergence
strong convergence
Noor iteration process
CAT(0) space
A note on the Young type inequalities
2
2
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 HilbertSchmidt 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) 1217].
1

261
267


Leila
Nasiri
Department Mathematics, Lorestan University, Iran
Department Mathematics, Lorestan University,
Iran
leilanasiri468@gmail.com


Mahmood
Shakoori
Department Mathematics, Lorestan University, Iran
Department Mathematics, Lorestan University,
Iran
mahmoodshakoori@gmail.com


Wenshi
Liao
College of Mathematics and Statistics, Chongqing University, Chongqing, 401331, P.R. China
College of Mathematics and Statistics,
Iran
liaowenshi@gmail.com
Young inequality
HilbertSchmidt norm
Positive semidefinite matrices
Refinements
An inexact alternating direction method with SQP regularization for the structured variational inequalities
2
2
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.
1

269
289


Abdellah
Bnouhachem
Ibn Zohr University, ENSA, BP 1136, Agadir, Morocco
Ibn Zohr University, ENSA, BP 1136, Agadir,
Iran
babedallah@yahoo.com


Th.M.
Rassias
Department of Mathematics, National Technical University of Athens, Zofrafou Campus, 15780 Athens, Greece
Department of Mathematics, National Technical
Iran
trassias@math.ntua.gr
Variational inequalities
monotone operator
square quadratic proximal method
logarithmicquadratic proximal method
alternating direction method
Similarity measurement for describe user images in social media
2
2
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 pretrained 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.
1

291
299


Alireza
Tavakoli Targhi
CS group of Mathematics department, Shahid Beheshti University, Tehran, Iran
CS group of Mathematics department, Shahid
Iran
a_tavakoli@sbu.ac.ir
Similarity Measurement Web mining
Health Topics
Computer Vision
Machine Learning Models
Periodic boundary value problems for controlled nonlinear impulsive evolution equations on Banach spaces
2
2
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.
1

301
314


Said
Melliani
Department of Mathematics, Faculty of Sciences and Technics, Sultan Moulay Slimane University, BP 523 Beni Mellal 23000, Morocco
Department of Mathematics, Faculty of Sciences
Iran
saidmelliani@gmail.com


Lalla Saadia
Chadli
Department of Mathematics, Faculty of Sciences and Technics, Sultan Moulay Slimane University, BP 523 Beni Mellal 23000, Morocco
Department of Mathematics, Faculty of Sciences
Iran
sa.chadli@yahoo.fr


Abdelati
El Allaoui
Department of Mathematics, Faculty of Sciences and Technics, Sultan Moulay Slimane University, BP 523 Beni Mellal 23000, Morocco
Department of Mathematics, Faculty of Sciences
Iran
elallaoui199@gmail.com
impulsive evolution equations
Periodic boundary value problems
Control
Mild solutions
Fixed and coincidence points for hybrid rational Geraghty contractive mappings in ordered $b$metric spaces
2
2
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.
1

315
329


Arsalan
Ansari
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Department of Mathematics, Karaj Branch,
Iran
mathanalsisamir4@gmail.com


Abdolrahman
Razani
Department of Mathematics, Faculty of Science, Imam Khomeini International University, Postal code 3414916818, Qazvin, Iran
Department of Mathematics, Faculty of Science,
Iran
razani@ipm.ir


Nawab
Hussain
Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia
Department of Mathematics, King Abdulaziz
Iran
nhusain@kau.edu.sa
fixed point
coincidence point
ordered $b$metric space
New integral inequalities for $s$preinvex functions
2
2
In this note, we give some estimate of the generalized quadrature formula of GaussJacobi$$underset{a}{overset{a+eta left( b,aright) }{int }}left( xaright)^{p}left( a+eta left( b,aright) xright) ^{q}fleft( xright) dx$$in the cases where $f$ and $left fright ^{lambda }$ for $lambda >1$, are $s$preinvex functions in the second sense.
1

331
336


Badreddine
Meftah
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
Laboratoire des t'{e}l'{e}communicatio
Iran
badrimeftah@yahoo.fr
integral inequality
$s$preinvex function
H"{o}lder inequality
power mean inequality
Some extensions of Darbo's theorem and solutions of integral equations of Hammerstein type
2
2
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.
1

337
351


Reza
Allahyari
Department of Mathematics, Mashhad Branch, Islamic Azad University,mashhad, Iran
Department of Mathematics, Mashhad Branch,
Iran
rezaallahyari@mshdiau.ac.ir


Asadollah
Aghajani
School of Mathematics, Iran University of Science and Technology, Narmark, Tehran 16846 13114, Iran
School of Mathematics, Iran University of
Iran
aghajani@iust.ac.ir
Measure of noncompactness
Quadratic integral equation
Darbo fixed point theorem
On new faster fixed point iterative schemes for contraction operators and comparison of their rate of convergence in convex metric spaces
2
2
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 singlevalued contraction operator. Then we make the comparison of their rate of convergence. Additionally, numerical examples for these iteration processes are given.
1

353
388


Cristian
Alecsa
Babec sBolyai University, Department of Mathematics, ClujNapoca, Romania, Tiberiu Popoviciu Institute of Numerical Analysis, Romanian Academy, ClujNapoca, Romania
Babec sBolyai University, Department of
Iran
cristian.alecsa@ictp.acad.ro
convex metric space
fixed point
iterative algorithm
rate of convergence
convex combination
The structure of ideals, point derivations, amenability and weak amenability of extended Lipschitz algebras
2
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Let $(X,d)$ be a compactmetric 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 complexvalued functions $f$ on$X$ for which$$p_{(K,d^alpha)}(f)=sup{frac{f(x)f(y)}{d^alpha(x,y)} : x,yin K , xneq y}<infty$$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.
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Maliheh
Mayghani
Department of Mathematics, Payame Noor University, Tehran, 193593697, Iran
Department of Mathematics, Payame Noor University,
Iran
m_maighany@yahoo.com


Davood
Alimohammadi
Department of Mathematics, Faculty of Science, Arak University,
Arak, Iran
Department of Mathematics, Faculty of Science,
Iran
dalimohammadi@araku.ac.ir
amenability
Banach function algebra
extended Lipschitz algebra
point derivation
weak amenability