Existence of Solutions for some Nonlinear Volterra Integral Equations via Petryshyn's Fixed Point Theorem
Manouchehr
Kazemi
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
author
Reza
Ezzati
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
author
text
article
2018
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
1
12
https://ijnaa.semnan.ac.ir/article_2296_80fd65a54d2078b7f30046da57777be0.pdf
dx.doi.org/10.22075/ijnaa.2017.1394.1352
Decomposition of supra soft locally closed sets and supra SLC-continuity
Alaa
Abd El-latif
Mathematics Department, Faculty of Arts and Science, Northern Border University, Rafha, Saudi Arabia;
Mathematics Department, Faculty of Education, Ain Shams University, Roxy, 11341, Cairo, Egypt
author
text
article
2018
eng
In this paper, we introduce two different notions of generalized supra soft sets namely supra A--soft 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 [{\it International Journal of Mathematical Trends and Technology} (IJMTT), (2014) Vol. 9 (1):37--56] 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 A--continuous functions and supra SLC--continuous functions. Finally, we obtain decompositions of supra soft continuity: $f_{pu}$ is a supra soft A--continuous if it is both supra soft semi-continuous and supra SLC--continuous, and also $f_{pu}$ is a supra soft continuous if and only if it is both supra soft pre--continuous and supra SLC--continuous. Several examples are provided to illustrate the behavior of these new classes of supra soft sets and supra soft functions.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
13
25
https://ijnaa.semnan.ac.ir/article_3079_0ce2a60a6abf1f556e2f1984a2737b0d.pdf
dx.doi.org/10.22075/ijnaa.2018.12727.1651
Strong convergence theorem for a class of multiple-sets split variational inequality problems in Hilbert spaces
Chinedu
Izuchukwu
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
author
text
article
2018
eng
In this paper, we introduce a new iterative algorithm for approximating a common solution of certain class of multiple-sets 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 multiple-sets split convex minimization problems.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
27
40
https://ijnaa.semnan.ac.ir/article_3080_cbdad3d80d8f73b4f043cf6b8daff31e.pdf
dx.doi.org/10.22075/ijnaa.2018.12463.1632
Lie ternary $(\sigma,\tau,\xi)$--derivations on Banach ternary algebras
Razieh
Farokhzad Rostami
Department of Mathematics, Faculty of Basic Sciences and Engineering, Gonbad Kavous University, Gonbad Kavous, Iran
author
text
article
2018
eng
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 $a,b,c\in A$, where $[abc]_{(\sigma,\tau,\xi)}=a\tau(b)\xi(c)-\sigma(c)\tau(b)a$ and $[a,b,c]=[abc]_{A}-[cba]_{A}$. In this paper, we prove the generalized Hyers--Ulam--Rassias 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 Euler--Lagrange type additive mapping: $$\sum_{i=1}^{n}f\textbf{(}\sum_{j=1}^{n}q(x_i-x_j)\textbf{)} +nf(\sum_{i=1}^{n}qx_i)=nq\sum_{i=1}^{n}f(x_i).$$
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
41
53
https://ijnaa.semnan.ac.ir/article_3081_6486c63f9dfbcbb69da5dc4438109c41.pdf
dx.doi.org/10.22075/ijnaa.2018.3081
Fekete-Szeg\"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination
Murugusundaramoorthy
Gangadharan
Dr. G. Murugusundaramoorthy, Ph.D.
Sr.Professor of Mathematics,
School of Advanced Sciences,
VIT University, Vellore 632 014
India ,www.vit.ac.in
author
Sunday Oluwafemi
Olatunji
Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
author
O.A.
Fadipe-Joseph
Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria
author
text
article
2018
eng
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 quasi--subordination and determine the initial coefficient estimates $|a_2|$ and $|a_3|$ and also determine the relevant connection to the classical Fekete--Szeg\"o inequalities. Further, we discuss the improved results for the associated classes involving subordination and majorization results briefly.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
55
68
https://ijnaa.semnan.ac.ir/article_3082_32c7c0a2eb966732ef665b9730390061.pdf
dx.doi.org/10.22075/ijnaa.2018.11778.1589
On Hadamard and Fej\'{e}r-Hadamard inequalities for Caputo $\small{k}$-fractional derivatives
Ghulam
Farid
Mathematics Department, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan
author
Anum
Javed
Mathematics, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan
author
text
article
2018
eng
In this paper we will prove certain Hadamard and Fejer-Hadamard inequalities for the functions whose nth derivatives are convex by using Caputo k-fractional derivatives. These results have some relationship with inequalities for Caputo fractional derivatives.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
69
81
https://ijnaa.semnan.ac.ir/article_3083_b8b7d30ba725674609012789386a7b89.pdf
dx.doi.org/10.22075/ijnaa.2018.10724.1521
Dynamic system of strategic games
Madjid
Eshaghi Gordji
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
author
Gholamreza
Askari
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
author
text
article
2018
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
83
98
https://ijnaa.semnan.ac.ir/article_2706_4ba202a0aba8f61e2a61ec9d80aa3be9.pdf
dx.doi.org/10.22075/ijnaa.2017.12774.1657
Influences of magnetic field in viscoelastic fluid
Kashif
Abro
Department of Mathematics, NED University of Engineering Technology, Karachi, Pakistan
author
Mirza
Baig
Department of Mathematics, NED University of Engineering Technology, Karachi, Pakistan
author
Mukruram
Hussain
Institute of Space Technology, Karachi, Pakistan
author
text
article
2018
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
99
109
https://ijnaa.semnan.ac.ir/article_3085_6452f001f824094059a183987374f4a3.pdf
dx.doi.org/10.22075/ijnaa.2017.1451.1367
Local higher derivations on C*-algebras are higher derivations
Lila
Naranjani
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
author
Mahmoud
Hassani
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
author
Madjid
Mirzavaziri
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad
91775, Iran
author
text
article
2018
eng
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 $a\in\mathfrak{A}$ there corresponds a continuous higher derivation $\{d_{a,n}\}_{n=0}^\infty$ such that $D_n(a)=d_{a,n}(a)$ for each non-negative 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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
111
115
https://ijnaa.semnan.ac.ir/article_3098_2dd5a1ec2b9eb291b3144ecc1e96595e.pdf
dx.doi.org/10.22075/ijnaa.2018.3098
Numerical resolution of large deflections in cantilever beams by Bernstein spectral method and a convolution quadrature.
Mohammadkeya
khosravi
Institute of Applied Mechanics, Graz University of Technology, Technikerstrasse 4, 8010 Graz, Austria
author
Mostafa
Jani
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran
author
text
article
2018
eng
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 semi-analytical methods demonstrate the accuracy and efficiency of the proposed methods. Also, the numerical experiments show the Bernstein-spectral method has a spectral order of accuracy and the convolution quadrature methods equipped with a finite difference discretization gives a second order of accuracy.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
117
127
https://ijnaa.semnan.ac.ir/article_3086_2fa91707207706c3ca97107695829a94.pdf
dx.doi.org/10.22075/ijnaa.2017.11240.1549
Solutions of initial and boundary value problems via F-contraction mappings in metric-like space
Hemant Kumar
Nashine
Department of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas, USA
author
Dhananjay
Gopal
Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat-395007, Gujarat, India
author
Dilip
Jain
Department of Applied Mathematics \& Humanities,
S.V. National Institute of Technology, Surat-395007, Gujarat, India
author
Ahmed
Al-Rawashdeh
Department of Mathematics, United Arab Emirates University, UAE
author
text
article
2018
eng
We present sufficient conditions for the existence of solutions of second-order two-point 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 F-contraction and F- Suzuki contraction in a metric-like space and give relevance to fixed point results. To illustrate our results, we give throughout the paper some examples.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
129
145
https://ijnaa.semnan.ac.ir/article_3089_b5af7b8a4b803b959039333d370da074.pdf
dx.doi.org/10.22075/ijnaa.2017.1725.1452
New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces
Sattar
Alizadeh
Department of Mathematics,
Marand Branch, Islamic Azad University,
Marand, Iran
author
Fridoun
Moradlou
Department of Mathematics,
Sahand University of Technology,
Tabriz, Iran
author
text
article
2018
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
147
159
https://ijnaa.semnan.ac.ir/article_3087_f22c8d3c0741a826a1347239994559cd.pdf
dx.doi.org/10.22075/ijnaa.2018.12168.1614
Efficient elliptic curve cryptosystems
Mohammad
Saleh
Mathematics Department, Birzeit University, P.O. Box 14, Palestine
author
Kamal
Darweesh
Applied Mathematics Department, Palestine Technical University--Kadoorie, Tulkarm, Palestine
author
text
article
2018
eng
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 width-w Mutual Opposite Form (wMOF) and analyze their computational complexity. This algorithm can speed up the wMOF exponentiation of elliptic curves of size 160-bit about (21.7 %) as a result of its implementation with respect to affine coordinates.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
161
174
https://ijnaa.semnan.ac.ir/article_3090_0f826058d0ae814be01864ee304396ac.pdf
dx.doi.org/10.22075/ijnaa.2018.11642.1581
Analysis of fully developed flow and heat transfer through n-sided polygonal ducts with round corners using the Galerkin weighted residual method
Ali Akbar
Abbasian Arani
Department of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran
author
Ali
Arefmanesh
Department of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran
author
Amirhossein
Niroumand
Department of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran
author
text
article
2018
eng
The Galerkin weighted residuals method is extended solve the laminar, fully developed flow and heat transfer of Al2O3-water nanofluid inside polygonal ducts with round corners for the constant heat flux and uniform wall temperature boundary conditions. Using the method, semi-analytical, closed-form 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 closed-form solutions for the flow and temperature fields in ducts with complex cross sectional shapes.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
175
193
https://ijnaa.semnan.ac.ir/article_3088_401f00e4daaf23f9740067ab22865a13.pdf
dx.doi.org/10.22075/ijnaa.2017.10429.1502
(JCLR) property and fixed point in non-Archimedean fuzzy metric spaces
Ismat
Beg
Lahore School of Economics, Lahore, Pakistan
author
M.
Ahmed
Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt
author
N.
Nafadi
Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt
author
text
article
2018
eng
The aim of the present paper is to introduce the concept of joint common limit range property ((JCLR) property) for single-valued and set-valued maps in non-Archimedean 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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
195
201
https://ijnaa.semnan.ac.ir/article_3092_2f1f766d89f68e23e74e6d57c2a062e0.pdf
dx.doi.org/10.22075/ijnaa.2018.10861.1529
Endpoints of multi-valued cyclic contraction mappings
Sirous
Moradi
Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran
author
text
article
2018
eng
Endpoint results are presented for multi-valued cyclic contraction mappings on complete metric spaces (X, d). Our results extend previous results given by Nadler (1969), Daffer-Kaneko (1995), Harandi (2010), Moradi and Kojasteh (2012) and Karapinar (2011).
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
203
210
https://ijnaa.semnan.ac.ir/article_3093_e6242ec1c326609daf7f125e152ae988.pdf
dx.doi.org/10.22075/ijnaa.2018.3093
Fractional Hermite-Hadamard type inequalities for n-times log-convex functions
Nawel
Ouanas
D\'{e}partement des Math\'{e}matiques, Facult\'{e} des math%
\'{e}matiques, de l'informatique et des sciences de la mati\`{e}re, Universit%
\'{e} 8 mai 1945 Guelma, Algeria
author
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.
author
Meriem
Merad
D\'{e}partement des Math\'{e}matiques, Facult\'{e} des math%
\'{e}matiques, de l'informatique et des sciences de la mati\`{e}re, Universit%
\'{e} 8 mai 1945 Guelma, Algeria
author
text
article
2018
eng
In this paper, we establish some Hermite-Hadamard type inequalities for function whose n-th derivatives are logarithmically convex by using Riemann-Liouville integral operator.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
211
221
https://ijnaa.semnan.ac.ir/article_3094_ca41a655282c9d139a02d65706aa0d5c.pdf
dx.doi.org/10.22075/ijnaa.2018.12016.1601
A new approximation method for common fixed points of a finite family of nonexpansive non-self mappings in Banach spaces
Pornsak
Yatakoat
Division of Mathematics, Faculty of Sciences, Nakhon Phanom University, Nakhon Phanom 48000, Thailand
author
text
article
2018
eng
In this paper, we introduce a new iterative scheme to approximate a common fixed point for a finite family of nonexpansive non-self mappings. Strong convergence theorems of the proposed iteration in Banach spaces.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
223
234
https://ijnaa.semnan.ac.ir/article_3095_d8a45ff392ad80350a74ef5cf80f13b7.pdf
dx.doi.org/10.22075/ijnaa.2018.1596.1416
Homomorphism Weak amenability of certain Banach algebras
Hamid
Sadeghi
Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran
author
Mahmmod
Lashkarizadeh
Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran
author
text
article
2018
eng
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.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
235
245
https://ijnaa.semnan.ac.ir/article_3099_3c9686cd0612388fda1d7fbfe656ad40.pdf
dx.doi.org/10.22075/ijnaa.2018.1201.1276
Higher order multi-point fractional boundary value problems with integral boundary conditions
İsmail
Yaslan
Department of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, Turkey
author
Mustafa
Gunendi
Department of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, Turkey
author
text
article
2018
eng
In this paper, we concerned with positive solutions for higher order m-point 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 m-point nonlinear fractional boundary value problems with integral boundary conditions by using a result from the theory of fixed point index, Avery-Henderson fixed point theorem and the Legget-Williams fixed point theorem, respectively.
International Journal of Nonlinear Analysis and Applications
Semnan University
2008-6822
9
v.
1
no.
2018
247
260
https://ijnaa.semnan.ac.ir/article_3096_c23cec9aa516bada1c5c4819b2c9df69.pdf
dx.doi.org/10.22075/ijnaa.2018.13610.1708