2018
9
1
0
0
1

Existence of Solutions for some Nonlinear Volterra Integral Equations via Petryshyn's Fixed Point Theorem
https://ijnaa.semnan.ac.ir/article_2296.html
10.22075/ijnaa.2017.1394.1352
1
In this paper, we study the existence of solutions of some nonlinear Volterra integral equations by using the techniques of measures of noncompactness and the Petryshyn's fixed point theorem in Banach space. We also present some examples of the integral equation to confirm the efficiency of our results.
0

1
12


Manouchehr
Kazemi
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Iran
univer_ka@yahoo.com


Reza
Ezzati
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
Iran
ezati@kiau.ac.ir
Nonlinear integral equations
Existence of solution
Measures of noncompactness
Petryshyn's fixed point theorem
1

Decomposition of supra soft locally closed sets and supra SLCcontinuity
https://ijnaa.semnan.ac.ir/article_3079.html
10.22075/ijnaa.2018.12727.1651
1
In this paper, we introduce two different notions of generalized supra soft sets namely supra Asoft sets and supra soft locally closed sets in supra soft topological spaces, which are weak forms of supra open soft sets and discuss their relationships with each other and other supra open soft sets [International Journal of Mathematical Trends and Technology, (IJMTT), (2014) Vol. 9 (1): 3756] like supra semi open soft sets, supra pre open soft sets, supra $alpha$open sets and supra $beta$open sets. Furthermore, the soft union and intersection of two supra soft locally closed sets have been obtained. We also introduce two different notions of generalized supra soft continuity namely supra soft Acontinuous functions and supra SLCcontinuous functions. Finally, we obtain decompositions of supra soft continuity: $f_{pu}$ is a supra soft Acontinuous if it is both supra soft semicontinuous and supra SLCcontinuous, and also $f_{pu}$ is a supra soft continuous if and only if it is both supra soft precontinuous and supra SLCcontinuous. Several examples are provided to illustrate the behavior of these new classes of supra soft sets and supra soft functions.
0

13
25


Alaa
Abd Ellatif
Mathematics Department, Faculty of Arts and Science, Northern Border University, Rafha, Saudi Arabia
Egypt
alaa.ali@nbu.edu.sa
supra soft topological space
supra Asoft sets
supra soft locally closed sets
supra SLCcontinuous functions
1

Strong convergence theorem for a class of multiplesets split variational inequality problems in Hilbert spaces
https://ijnaa.semnan.ac.ir/article_3080.html
10.22075/ijnaa.2018.12463.1632
1
In this paper, we introduce a new iterative algorithm for approximating a common solution of certain class of multiplesets split variational inequality problems. The sequence of the proposed iterative algorithm is proved to converge strongly in Hilbert spaces. As application, we obtain some strong convergence results for some classes of multiplesets split convexminimization problems.
0

27
40


Chinedu
Izuchukwu
School of Mathematics, Statistics and Computer Science, University of KwaZuluNatal, Durban, South Africa
South Africa
izuchukwu_c@yahoo.com
Split variational inequality problems
multiplesets problems, convex minimization problems
strictly pseudocontractive mapping
inverse strongly monotone operators
1

Lie ternary $(sigma,tau,xi)$derivations on Banach ternary algebras
https://ijnaa.semnan.ac.ir/article_3081.html
10.22075/ijnaa.2018.3081
1
Let $A$ be a Banach ternary algebra over a scalar field $Bbb R$ or $Bbb C$ and $X$ be a ternary Banach $A$module. Let $sigma,tau$ and $xi$ be linear mappings on $A$, a linear mapping $D:(A,[~]_A)to (X,[~]_X)$ is called a Lie ternary $(sigma,tau,xi)$derivation, if $$D([a,b,c])=[[D(a)bc]_X]_{(sigma,tau,xi)}[[D(c)ba]_X]_{(sigma,tau,xi)}$$ for all $a,b,cin A$, where $[abc]_{(sigma,tau,xi)}=atau(b)xi(c)sigma(c)tau(b)a$ and $[a,b,c]=[abc]_{A}[cba]_{A}$. In this paper, we prove the generalized HyersUlamRassias stability of Lie ternary $(sigma,tau,xi)$derivations on Banach ternary algebras and $C^*$Lie ternary $(sigma,tau,xi)$derivations on $C^*$ternary algebras for the following EulerLagrange type additive mapping: $$sum_{i=1}^{n}ftextbf{(}sum_{j=1}^{n}q(x_ix_j)textbf{)} +nf(sum_{i=1}^{n}qx_i)=nqsum_{i=1}^{n}f(x_i).$$
0

41
53


Razieh
Farokhzad Rostami
Department of Mathematics, Faculty of Basic Sciences and Engineering, Gonbad Kavous University, Gonbad Kavous, Iran
Iran
razieh.farokhzad@yahoo.com
Banach ternary algebra
Lie ternary $(sigma
tau
xi)$derivation
HyersUlamRassias stability
1

FeketeSzeg"o problems for analytic functions in the space of logistic sigmoid functions based on quasisubordination
https://ijnaa.semnan.ac.ir/article_3082.html
10.22075/ijnaa.2018.11778.1589
1
In this paper, we define new subclasses ${S}^{*}_{q}(alpha,Phi),$ ${M}_{q}(alpha,Phi)$ and ${L}_{q}(alpha,Phi)$ of analytic functions in the space of logistic sigmoid functions based on quasisubordination and determine the initial coefficient estimates $a_2$ and $a_3$ and also determine the relevant connection to the classical FeketeSzego inequalities. Further, we discuss the improved results for the associated classes involving subordination and majorization results briefly.
0

55
68


Murugusundaramoorthy
Gangadharan
Dr. G. Murugusundaramoorthy, Ph.D.
Sr.Professor of Mathematics,
School of Advanced Sciences,
VIT University, Vellore 632 014
India
India
gmsmoorthy@yahoo.com


Sunday Oluwafemi
Olatunji
Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
Nigeria
olatunjiso@futa.edu.ng


O.A.
FadipeJoseph
Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria
Nigeria
famelov@unilorin.edu.ng
univalent function
starlike function
quasisubordination
logistic sigmoid function
FeketeSzego inequality
1

On Hadamard and Fej'{e}rHadamard inequalities for Caputo $small{k}$fractional derivatives
https://ijnaa.semnan.ac.ir/article_3083.html
10.22075/ijnaa.2018.10724.1521
1
In this paper we will prove certain Hadamard and FejerHadamard inequalities for the functions whose nth derivatives are convex by using Caputo kfractional derivatives. These results have some relationship with inequalities for Caputo fractional derivatives.
0

69
81


Ghulam
Farid
Mathematics Department, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan
Pakistan
faridphdsms@hotmail.com


Anum
Javed
Mathematics, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan
Pakistan
javedanum.38@gmail.com
Convex functions
Hadamard inequality
FejerHadamard inequality
Caputo fractional derivatives
1

Dynamic system of strategic games
https://ijnaa.semnan.ac.ir/article_2706.html
10.22075/ijnaa.2017.12774.1657
1
Maybe an event can't be modeled completely through one game but there is more chance with several games. With emphasis on players' rationality, we present new properties of strategic games, which result in production of other games. Here, a new attitude to modeling will be presented in game theory as dynamic system of strategic games and its some applications such as analysis of the clash between the United States and Iran in Iraq will be provided. In this system with emphasis on players’ rationality, the relationship between strategic games and explicitly the dynamics present in interactions among players will be examined. In addition, we introduce a new game called trickery game. This game shows a good reason for the cunning of some people in everyday life. Cooperation is a hallmark of human society. In many cases, our study provides a mechanism to move towards cooperation between players.
0

83
98


Madjid
Eshaghi Gordji
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195363, Iran
Iran
meshaghi@semnan.ac.ir


Gholamreza
Askari
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195363, Iran
Iran
g.askari@semnan.ac.ir
Dynamic system
game theory
Second Persian Gulf War
Cooperation
Rationality
1

Influences of magnetic field in viscoelastic fluid
https://ijnaa.semnan.ac.ir/article_3085.html
10.22075/ijnaa.2017.1451.1367
1
This communication influences on magnetohydrodynamic flow of viscoelastic fluid with magnetic field induced by oscillating plate. General solutions have been found out for velocity and shear stress profiles using mathematical transformations (Integral transforms). The governing partial differential equations have been solved analytically under boundary conditions u(0,t)=A_0 H(t)sinΩt and u(0,t)=A_0 H(t)cosΩt with t≥0. For the sake of simplicity of boundary conditions are verified on the analytical general solutions and similar solutions have been particularized under three limited cases namely (i). Maxwell fluid with out magnetic field if γ≠0,M=0 (ii). Newtonian fluid with magnetic field if γ=0,M≠0 and (iii). Newtonian fluid with out magnetic field if γ=0,M=0. Finally various physical parameters with variations of fluid behaviors are analyzed and depicted graphical illustrations.
0

99
109


Kashif
Abro
Department of Mathematics, NED University of Engineering Technology, Karachi, Pakistan
Pakistan
kashif.abro@faculty.muet.edu.pk


Mirza
Baig
Department of Mathematics, NED University of Engineering Technology, Karachi, Pakistan
Pakistan
baig@neduet.edu.pk


Mukruram
Hussain
Institute of Space Technology, Karachi, Pakistan
Pakistan
mrmukkarum@yahoo.com
MHD Maxwell fluid
Laplace and Fourier transforms
rheological Parameters
1

Local higher derivations on C*algebras are higher derivations
https://ijnaa.semnan.ac.ir/article_3098.html
10.22075/ijnaa.2018.3098
1
Let $mathfrak{A}$ be a Banach algebra. We say that a sequence ${D_n}_{n=0}^infty$ of continuous operators form $mathfrak{A}$ into $mathfrak{A}$ is a textit{local higher derivation} if to each $ainmathfrak{A}$ there corresponds a continuous higher derivation ${d_{a,n}}_{n=0}^infty$ such that $D_n(a)=d_{a,n}(a)$ for each nonnegative integer $n$. We show that if $mathfrak{A}$ is a $C^*$algebra then each local higher derivation on $mathfrak{A}$ is a higher derivation. We also prove that each local higher derivation on a $C^*$algebra is automatically continuous.
0

111
115


Lila
Naranjani
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Iran
lnaranjani@yahoo.com


Mahmoud
Hassani
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
Iran
mhassanimath@gmail.com


Madjid
Mirzavaziri
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad
91775, Iran
Iran
mirzavaziri@um.ac.ir
Higher derivation
local higher derivation
Derivation
local derivation
1

Numerical resolution of large deflections in cantilever beams by Bernstein spectral method and a convolution quadrature.
https://ijnaa.semnan.ac.ir/article_3086.html
10.22075/ijnaa.2017.11240.1549
1
The mathematical modeling of the large deflections for the cantilever beams leads to a nonlinear differential equation with the mixed boundary conditions. Different numerical methods have been implemented by various authors for such problems. In this paper, two novel numerical techniques are investigated for the numerical simulation of the problem. The first is based on a spectral method utilizing modal Bernstein polynomial basis. This gives a polynomial expression for the beam configuration. To do so, a polynomial basis satisfying the boundary conditions is presented by using the properties of the Bernstein polynomials. In the second approach, we first transform the problem into an equivalent Volterra integral equation with a convolution kernel. Then, the second order convolution quadrature method is implemented to discretize the problem along with a finite difference approximation for the Neumann boundary condition on the free end of the beam. Comparison with the experimental data and the existing numerical and semianalytical methods demonstrate the accuracy and efficiency of the proposed methods. Also, the numerical experiments show the Bernsteinspectral method has a spectral order of accuracy and the convolution quadrature methods equipped with a finite difference discretization gives a second order of accuracy.
0

117
127


Mohammadkeya
khosravi
Institute of Applied Mechanics, Graz University of Technology, Technikerstrasse 4, 8010 Graz, Austria
Iran
khosravi@student.tugraz.at


Mostafa
Jani
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran
Iran
mostafa.jani@gmail.com
Bernstein polynomials
Cantilever beam
Large deflection
Nonlinearity
Convolution quadrature
1

Solutions of initial and boundary value problems via Fcontraction mappings in metriclike space
https://ijnaa.semnan.ac.ir/article_3089.html
10.22075/ijnaa.2017.1725.1452
1
We present sufficient conditions for the existence of solutions of secondorder twopoint boundary value and fractional order functional differential equation problems in a space where self distance is not necessarily zero. For this, first we introduce a Ciric type generalized Fcontraction and FSuzuki contraction in a metriclike space and give relevance to fixed point results. To illustrate our results, we give throughout the paper some examples.
0

129
145


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


Dhananjay
Gopal
Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat395007, Gujarat, India
India
gopaldhananjay@yahoo.in


Dilip
Jain
Department of Applied Mathematics & Humanities,
S.V. National Institute of Technology, Surat395007, Gujarat, India
India
dilip18pri@gmail.com


Ahmed
AlRawashdeh
Department of Mathematics, United Arab Emirates University, UAE
United Arab Emirates
ahmedrawashdeh72@yahoo.ca
Metriclike space
fixed point
Fcontraction
boundary value problem
1

New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces
https://ijnaa.semnan.ac.ir/article_3087.html
10.22075/ijnaa.2018.12168.1614
1
In this paper, applying hybrid projection method, a new modified Ishikawa iteration scheme is presented for finding a common element of the solution set of an equilibrium problem and the set of fixed points of relatively nonexpansive mappings in Banach spaces. A numerical example is given and the numerical behaviour of the sequences generated by this algorithm is compared with several existence results in literature to illustrate the usability of obtained results.
0

147
159


Sattar
Alizadeh
Department of Mathematics,
Marand Branch, Islamic Azad University,
Marand, Iran
Iran
salizadeh@marandiau.ac.ir


Fridoun
Moradlou
Department of Mathematics,
Sahand University of Technology,
Tabriz, Iran
Iran
fridoun.moradlou@gmail.com
Equilibrium problems
Fixed point
Hybrid method
Relatively nonexpansive mapping
Weak convergence
1

Efficient elliptic curve cryptosystems
https://ijnaa.semnan.ac.ir/article_3090.html
10.22075/ijnaa.2018.11642.1581
1
Elliptic curve cryptosystems (ECC) are new generations of public key cryptosystems that have a smaller key size for the same level of security. The exponentiation on elliptic curve is the most important operation in ECC, so when the ECC is put into practice, the major problem is how to enhance the speed of the exponentiation. It is thus of great interest to develop algorithms for exponentiation, which allow efficient implementations of ECC. In this paper, we improve efficient algorithm for exponentiation on elliptic curves defined over Fp in terms of affine coordinates. The algorithm computes directly from random points P and Q on an elliptic curve, without computing the intermediate points. Moreover, we apply the algorithm to exponentiation on elliptic curves with widthw Mutual Opposite Form (wMOF) and analyze their computational complexity. This algorithm can speed up the wMOF exponentiation of elliptic curves of size 160bit about (21.7 %) as a result of its implementation with respect to affine coordinates.
0

161
174


Mohammad
Saleh
Mathematics Department, Birzeit University, P.O. Box 14, Palestine
Iran
msaleh@birzeit.edu


Kamal
Darweesh
Applied Mathematics Department, Palestine Technical UniversityKadoorie, Tulkarm, Palestine
Iran
kdarweesh.scom@gmail.com
cryptography
elliptic curves
affine coordinates
1

Analysis of fully developed flow and heat transfer through nsided polygonal ducts with round corners using the Galerkin weighted residual method
https://ijnaa.semnan.ac.ir/article_3088.html
10.22075/ijnaa.2017.10429.1502
1
The Galerkin weighted residuals method is extended solve the laminar, fully developed flow and heat transfer of Al2O3water nanofluid inside polygonal ducts with round corners for the constant heat flux and uniform wall temperature boundary conditions. Using the method, semianalytical, closedform solutions are obtained for the friction coefficient and the Nusselt number in terms of the radius of the round corners for the triangular, rectangular, hexagonal, and octagonal ducts. The effects of varying the radius of the round corners and the volume fraction of the nanoparticles on the friction coefficient and the Nusselt number are analyzed. The results show that the friction factor and the average Nusselt number increase with increasing the radius of the round corners. The study indicates that the Galerkin weighted residuals method is an accurate and efficient technique to obtain closedform solutions for the flow and temperature fields in ducts with complex cross sectional shapes.
0

175
193


Ali Akbar
Abbasian Arani
Department of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 8731751167, Iran
Iran
abbasian@kashanu.ac.ir


Ali
Arefmanesh
Department of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 8731751167, Iran
Iran
arefmanesh@kashanu.ac.ir


Amirhossein
Niroumand
Department of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 8731751167, Iran
Iran
ahnmechanics@gmail.com
Fully developed flow
Polygonal ducts
Semianalytic solutions
Galerkin weighted residual method
Nanofluid
1

(JCLR) property and fixed point in nonArchimedean fuzzy metric spaces
https://ijnaa.semnan.ac.ir/article_3092.html
10.22075/ijnaa.2018.10861.1529
1
The aim of the present paper is to introduce the concept of joint common limit range property ((JCLR) property) for singlevalued and setvalued maps in nonArchimedean fuzzy metric spaces. We also list some examples to show the difference between (CLR) property and (JCLR) property. Further, we establish common fixed point theorems using implicit relation with integral contractive condition. Several examples to illustrate the significance of our results are given.
0

195
201


Ismat
Beg
Lahore School of Economics, Lahore, Pakistan
Pakistan
ibeg@lahoreschool.edu.pk


M.
Ahmed
Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt
Egypt
mahmed68@yahoo.com


N.
Nafadi
Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt
Egypt
hatem9007@yahoo.com
Fixed point
(JCLR) property
nonArchimedean fuzzy metric space
hybrid map
1

Endpoints of multivalued cyclic contraction mappings
https://ijnaa.semnan.ac.ir/article_3093.html
10.22075/ijnaa.2018.3093
1
Endpoint results are presented for multivalued cyclic contraction mappings on complete metric spaces (X, d). Our results extend previous results given by Nadler (1969), DafferKaneko (1995), Harandi (2010), Moradi and Kojasteh (2012) and Karapinar (2011).
0

203
210


Sirous
Moradi
Department of Mathematics, Faculty of Science, Arak University, Arak 3815688349, Iran
Iran
sirousmoradi@gmail.com
Multivalued mapping
Generalized weak contraction
Endpoint
Hausdorff metric
1

Fractional HermiteHadamard type inequalities for ntimes logconvex functions
https://ijnaa.semnan.ac.ir/article_3094.html
10.22075/ijnaa.2018.12016.1601
1
In this paper, we establish some HermiteHadamard type inequalities for function whose nth derivatives are logarithmically convex by using RiemannLiouville integral operator.
0

211
221


Nawel
Ouanas
Departement des Mathematiques, Faculte des Mathematiques, de l'informatique et des sciences de la matiere, Universite 8 May 1945 Guelma, Algeria
Algeria
ouanasnawel@yahoo.fr


Badreddine
Meftah
Laboratoire des tecommunications, Faculte des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria.
Algeria
badrimeftah@yahoo.fr


Meriem
Merad
Departement des Mathematiques, Faculte des Mathematiques, de l'informatique et des sciences de la matiere, Universite 8 May 1945 Guelma, Algeria
Algeria
mrad.meriem@gmail.com
Integral inequality
logconvex function
Hölder inequality
power mean inequality
1

A new approximation method for common fixed points of a finite family of nonexpansive nonself mappings in Banach spaces
https://ijnaa.semnan.ac.ir/article_3095.html
10.22075/ijnaa.2018.1596.1416
1
In this paper, we introduce a new iterative scheme to approximate a common fixed point for a finite family of nonexpansive nonself mappings. Strong convergence theorems of the proposed iteration in Banach spaces.
0

223
234


Pornsak
Yatakoat
Division of Mathematics, Faculty of Sciences, Nakhon Phanom University, Nakhon Phanom 48000, Thailand
Thailand
p_yatakoat@npu.ac.th
nonexpansive nonself mappings
Common xed points
Banach spaces
1

Homomorphism Weak amenability of certain Banach algebras
https://ijnaa.semnan.ac.ir/article_3099.html
10.22075/ijnaa.2018.1201.1276
1
In this paper we introduce the notion of $varphi$commutativity for a Banach algebra $A$, where $varphi$ is a continuous homomorphism on $A$ and study the concept of $varphi$weak amenability for $varphi$commutative Banach algebras. We give an example to show that the class of $varphi$weakly amenable Banach algebras is larger than that of weakly amenable commutative Banach algebras. We characterize $varphi$weak amenability of $varphi$commutative Banach algebras and prove some hereditary properties. Moreover we verify some of the previous available results about commutative weakly amenable Banach algebras, for $varphi$commutative $varphi$weakly amenable Banach algebras.
0

235
245


Hamid
Sadeghi
Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran
Iran
sadeghi@sci.ui.ac.ir


Mahmmod
Lashkarizadeh
Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran
Iran
lashkarizadeh@sci.ui.ac.ir
Banach algebra
$varphi$commutative
$varphi$derivation
$varphi$weakly amenability
1

Higher order multipoint fractional boundary value problems with integral boundary conditions
https://ijnaa.semnan.ac.ir/article_3096.html
10.22075/ijnaa.2018.13610.1708
1
In this paper, we concerned with positive solutions for higher order mpoint nonlinear fractional boundary value problems with integral boundary conditions. We establish the criteria for the existence of at least one, two and three positive solutions for higher order mpoint nonlinear fractional boundary value problems with integral boundary conditions by using a result from the theory of fixed point index, AveryHenderson fixed point theorem and the LeggetWilliams fixed point theorem, respectively.
0

247
260


İsmail
Yaslan
Department of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, Turkey
Turkey
iyaslan@pau.edu.tr


Mustafa
Gunendi
Department of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, Turkey
Turkey
mustafa_87875@hotmail.com
Boundary value problems
cone
fixed point theorems
positive solutions
RiemannLiouville fractional derivative
integral boundary conditions