Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
Existence of Solutions for some Nonlinear Volterra Integral Equations via Petryshyn's Fixed Point Theorem
1
12
EN
Manouchehr
Kazemi
0000-0001-8392-6690
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
univer_ka@yahoo.com
Reza
Ezzati
Department of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran
ezati@kiau.ac.ir
10.22075/ijnaa.2017.1394.1352
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.
Nonlinear integral equations,Existence of solution,Measures of noncompactness,Petryshyn's fixed point theorem
https://ijnaa.semnan.ac.ir/article_2296.html
https://ijnaa.semnan.ac.ir/article_2296_80fd65a54d2078b7f30046da57777be0.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
Decomposition of supra soft locally closed sets and supra SLC-continuity
13
25
EN
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
alaa.ali@nbu.edu.sa
10.22075/ijnaa.2018.12727.1651
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 [{<span>it</span> International Journal of Mathematical Trends and Technology} (<span>IJMTT</span>), (2014) Vol. 9 (1):37--56] like supra semi open soft sets, supra <span>pre</span> open soft sets, supra <span>$alpha$</span>--open sets and supra <span>$beta$</span>--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 <span>SLC</span>--continuous functions. Finally, we obtain <span>decompositions</span> of supra soft continuity: <span>$f_{pu}$</span> is a supra soft A--continuous if it is both supra soft semi-continuous and supra <span>SLC</span>--continuous, and also <span>$f_{pu}$</span> is a supra soft continuous if and only if it is both supra soft <span>pre</span>--continuous and supra <span>SLC</span>--continuous. Several examples are provided to illustrate the behavior of these new classes of supra soft sets and supra soft functions.
supra soft topological space,supra A--soft sets,supra soft locally closed sets,supra SLC--continuous functions
https://ijnaa.semnan.ac.ir/article_3079.html
https://ijnaa.semnan.ac.ir/article_3079_0ce2a60a6abf1f556e2f1984a2737b0d.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
Strong convergence theorem for a class of multiple-sets split variational inequality problems in Hilbert spaces
27
40
EN
Chinedu
Izuchukwu
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa
izuchukwu_c@yahoo.com
10.22075/ijnaa.2018.12463.1632
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<br /> minimization problems.
Split variational inequality problems,multiple-sets problems, convex minimization problems,strictly pseudocontractive mapping,inverse strongly monotone operators
https://ijnaa.semnan.ac.ir/article_3080.html
https://ijnaa.semnan.ac.ir/article_3080_cbdad3d80d8f73b4f043cf6b8daff31e.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
Lie ternary $(sigma,tau,xi)$--derivations on Banach ternary algebras
41
53
EN
Razieh
Farokhzad Rostami
0000-0002-3965-2634
Department of Mathematics, Faculty of Basic Sciences and Engineering, Gonbad Kavous University, Gonbad Kavous, Iran
razieh.farokhzad@yahoo.com
10.22075/ijnaa.2018.3081
Let <span>$A$</span> be a Banach ternary algebra over a scalar field <span>$Bbb R$</span> or <span>$Bbb C$</span><br /> and <span>$X$</span> be a ternary Banach <span>$A$</span>--module. Let <span>$sigma,tau$</span> and <span>$xi$</span> be linear mappings on <span>$A$</span>, a linear mapping<br /> <span>$D:(A,[~]_A)to (X,[~]_X)$</span> is called a Lie ternary <span>$(sigma,tau,xi)$</span>--derivation, if<br /> <span>$$D([a,b,c])=[[D(a)bc]_X]_{(sigma,tau,xi)}-[[D(c)ba]_X]_{(sigma,tau,xi)}$$</span><br /> for all<br /> <span>$a,b,cin A$</span>, where <span>$[abc]_{(sigma,tau,xi)}=atau(b)xi(c)-sigma(c)tau(b)a$</span> and <span>$[a,b,c]=[abc]_{A}-[cba]_{A}$</span>.<br /> In this paper, we prove the generalized <span>Hyers</span>--<span>Ulam</span>--<span>Rassias</span><br /> stability of Lie ternary <span>$(sigma,tau,xi)$</span>--derivations on Banach<br /> ternary algebras and <span>$C^*$</span>--Lie ternary <span>$(sigma,tau,xi)$</span>--derivations on <span>$C^*$</span>--ternary algebras for the following Euler--Lagrange type additive mapping:<br /> <span>$$sum_{i=1}^{n}ftextbf{(}sum_{j=1}^{n}q(x_i-x_j)textbf{)}</span><br /> <span>+nf(sum_{i=1}^{n}qx_i)=nqsum_{i=1}^{n}f(x_i).$$</span>
Banach ternary algebra,Lie ternary $(sigma,tau,xi)$-derivation,Hyers-Ulam-Rassias stability
https://ijnaa.semnan.ac.ir/article_3081.html
https://ijnaa.semnan.ac.ir/article_3081_6486c63f9dfbcbb69da5dc4438109c41.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
Fekete-Szeg"o problems for analytic functions in the space of logistic sigmoid functions based on quasi-subordination
55
68
EN
Murugusundaramoorthy
Gangadharan
0000-0001-8285-6619
Dr. G. Murugusundaramoorthy, Ph.D.
Sr.Professor of Mathematics,
School of Advanced Sciences,
VIT University, Vellore 632 014
India ,www.vit.ac.in
gmsmoorthy@yahoo.com
Sunday Oluwafemi
Olatunji
Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
olatunjiso@futa.edu.ng
O.A.
Fadipe-Joseph
0000-0001-7781-6807
Department of Mathematics, University of Ilorin, P.M.B. 1515 Ilorin, Nigeria
famelov@unilorin.edu.ng
10.22075/ijnaa.2018.11778.1589
In this paper, we define new <span>subclasses</span> <span>${S}^{*}_{q}(alpha,Phi),$</span> <span>${M}_{q}(alpha,Phi)$</span> and <span>${L}_{q}(alpha,Phi)$</span> of analytic functions in the space of logistic <span>sigmoid</span> functions based on quasi--subordination and determine the initial coefficient estimates <span>$|a_2|$</span> and <span>$|a_3|$</span> and also determine the relevant connection to the classical <span>Fekete</span>--<span>Szeg</span><span>"</span>o inequalities. Further, we discuss the improved results for the associated classes involving subordination and <span>majorization</span> results briefly.
univalent function,starlike function,quasi--subordination,logistic sigmoid function,Fekete-Szeg"o inequality
https://ijnaa.semnan.ac.ir/article_3082.html
https://ijnaa.semnan.ac.ir/article_3082_32c7c0a2eb966732ef665b9730390061.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
On Hadamard and Fej'{e}r-Hadamard inequalities for Caputo $small{k}$-fractional derivatives
69
81
EN
Ghulam
Farid
Mathematics Department, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan
faridphdsms@hotmail.com
Anum
Javed
Mathematics, COMSATS Institute of Information Technology, Attock Campus, Attock, Pakistan
javedanum.38@gmail.com
10.22075/ijnaa.2018.10724.1521
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.
Convex functions,Hadamard inequality,Fej'{e}r-Hadamard inequality,Caputo fractional derivatives
https://ijnaa.semnan.ac.ir/article_3083.html
https://ijnaa.semnan.ac.ir/article_3083_b8b7d30ba725674609012789386a7b89.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
Dynamic system of strategic games
83
98
EN
Madjid
Eshaghi Gordji
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
meshaghi@semnan.ac.ir
Gholamreza
Askari
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
g.askari@semnan.ac.ir
10.22075/ijnaa.2017.12774.1657
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.
Dynamic system,game theory,Second Persian Gulf War,Cooperation,Rationality
https://ijnaa.semnan.ac.ir/article_2706.html
https://ijnaa.semnan.ac.ir/article_2706_4ba202a0aba8f61e2a61ec9d80aa3be9.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
Influences of magnetic field in viscoelastic fluid
99
109
EN
Kashif
Ali
Abro
Department of Mathematics, NED University of Engineering Technology, Karachi, Pakistan
kashif.abro@faculty.muet.edu.pk
Mirza
Mahmood
Baig
Department of Mathematics, NED University of Engineering Technology, Karachi, Pakistan
baig@neduet.edu.pk
Mukruram
Hussain
Institute of Space Technology, Karachi, Pakistan
mrmukkarum@yahoo.com
10.22075/ijnaa.2017.1451.1367
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.
MHD Maxwell fluid,Laplace and Fourier transforms,rheological Parameters
https://ijnaa.semnan.ac.ir/article_3085.html
https://ijnaa.semnan.ac.ir/article_3085_6452f001f824094059a183987374f4a3.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
Local higher derivations on C*-algebras are higher derivations
111
115
EN
Lila
Naranjani
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
lnaranjani@yahoo.com
Mahmoud
Hassani
Department of Mathematics, Mashhad Branch, Islamic Azad University, Mashhad, Iran
mhassanimath@gmail.com
Madjid
Mirzavaziri
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad
91775, Iran
mirzavaziri@um.ac.ir
10.22075/ijnaa.2018.3098
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 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.
Higher derivation,local higher derivation,Derivation,local derivation
https://ijnaa.semnan.ac.ir/article_3098.html
https://ijnaa.semnan.ac.ir/article_3098_2dd5a1ec2b9eb291b3144ecc1e96595e.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
Numerical resolution of large deflections in cantilever beams by Bernstein spectral method and a convolution quadrature.
117
127
EN
Mohammadkeya
khosravi
Institute of Applied Mechanics, Graz University of Technology, Technikerstrasse 4, 8010 Graz, Austria
khosravi@student.tugraz.at
Mostafa
Jani
0000-0002-4596-2495
Department of Mathematics, Faculty of Mathematical Sciences and Computer, Kharazmi University, Tehran, Iran
mostafa.jani@gmail.com
10.22075/ijnaa.2017.11240.1549
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.
Bernstein polynomials,Cantilever beam,Large deflection,Nonlinearity,Convolution quadrature
https://ijnaa.semnan.ac.ir/article_3086.html
https://ijnaa.semnan.ac.ir/article_3086_2fa91707207706c3ca97107695829a94.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
Solutions of initial and boundary value problems via F-contraction mappings in metric-like space
129
145
EN
Hemant Kumar
Nashine
0000-0002-0250-9172
Department of Mathematics, Texas A & M University - Kingsville - 78363-8202, Texas, USA
drhknashine@gmail.com
Dhananjay
Gopal
Department of Applied Mathematics & Humanities, S.V. National Institute of Technology, Surat-395007, Gujarat, India
gopaldhananjay@yahoo.in
Dilip
Jain
Department of Applied Mathematics \& Humanities,
S.V. National Institute of Technology, Surat-395007, Gujarat, India
dilip18pri@gmail.com
Ahmed
Al-Rawashdeh
Department of Mathematics, United Arab Emirates University, UAE
ahmedrawashdeh72@yahoo.ca
10.22075/ijnaa.2017.1725.1452
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.
Metric-like space,fixed point,F-contraction,boundary value problem
https://ijnaa.semnan.ac.ir/article_3089.html
https://ijnaa.semnan.ac.ir/article_3089_b5af7b8a4b803b959039333d370da074.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
New hybrid method for equilibrium problems and relatively nonexpansive mappings in Banach spaces
147
159
EN
Sattar
Alizadeh
Department of Mathematics,
Marand Branch, Islamic Azad University,
Marand, Iran
salizadeh@marandiau.ac.ir
Fridoun
Moradlou
Department of Mathematics,
Sahand University of Technology,
Tabriz, Iran
fridoun.moradlou@gmail.com
10.22075/ijnaa.2018.12168.1614
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.
Equilibrium problems,Fixed point,Hybrid method,Relatively nonexpansive mapping,Weak convergence
https://ijnaa.semnan.ac.ir/article_3087.html
https://ijnaa.semnan.ac.ir/article_3087_f22c8d3c0741a826a1347239994559cd.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
Efficient elliptic curve cryptosystems
161
174
EN
Mohammad
Saleh
Mathematics Department, Birzeit University, P.O. Box 14, Palestine
msaleh@birzeit.edu
Kamal
Darweesh
Applied Mathematics Department, Palestine Technical University--Kadoorie, Tulkarm, Palestine
kdarweesh.scom@gmail.com
10.22075/ijnaa.2018.11642.1581
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.
cryptography,elliptic curves,affine coordinates
https://ijnaa.semnan.ac.ir/article_3090.html
https://ijnaa.semnan.ac.ir/article_3090_0f826058d0ae814be01864ee304396ac.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
Analysis of fully developed flow and heat transfer through n-sided polygonal ducts with round corners using the Galerkin weighted residual method
175
193
EN
Ali Akbar
Abbasian Arani
Department of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran
abbasian@kashanu.ac.ir
Ali
Arefmanesh
Department of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran
arefmanesh@kashanu.ac.ir
Amirhossein
Niroumand
Department of Mechanical Engineering, Faculty of Mechanical Engineering, University of Kashan, Kashan 87317-51167, Iran
ahnmechanics@gmail.com
10.22075/ijnaa.2017.10429.1502
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.
Fully developed flow,Polygonal ducts,Semi-analytic solutions,Galerkin weighted residual method,Nanofluid
https://ijnaa.semnan.ac.ir/article_3088.html
https://ijnaa.semnan.ac.ir/article_3088_401f00e4daaf23f9740067ab22865a13.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
(JCLR) property and fixed point in non-Archimedean fuzzy metric spaces
195
201
EN
Ismat
Beg
0000-0002-4191-1498
Lahore School of Economics, Lahore, Pakistan
ibeg@lahoreschool.edu.pk
M.
Ahmed
Department of Mathematics, Faculty of Science, Assiut University, Assiut 71516, Egypt
mahmed68@yahoo.com
N.
Nafadi
Department of Mathematics, Faculty of Science, Port Said University, Port Said, Egypt
hatem9007@yahoo.com
10.22075/ijnaa.2018.10861.1529
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.
Fixed point,(JCLR) property,non-Archimedean fuzzy metric space,hybrid map
https://ijnaa.semnan.ac.ir/article_3092.html
https://ijnaa.semnan.ac.ir/article_3092_2f1f766d89f68e23e74e6d57c2a062e0.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
Endpoints of multi-valued cyclic contraction mappings
203
210
EN
Sirous
Moradi
Department of Mathematics, Faculty of Science, Arak University, Arak 38156-8-8349, Iran
sirousmoradi@gmail.com
10.22075/ijnaa.2018.3093
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).
Multi-valued mapping,Generalized weak contraction,Endpoint,Hausdorff metric
https://ijnaa.semnan.ac.ir/article_3093.html
https://ijnaa.semnan.ac.ir/article_3093_e6242ec1c326609daf7f125e152ae988.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
Fractional Hermite-Hadamard type inequalities for n-times log-convex functions
211
221
EN
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
ouanasnawel@yahoo.fr
Badreddine
Meftah
0000-0002-0156-7864
Laboratoire des tecommunications, Faculte des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, Algeria.
badrimeftah@yahoo.fr
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
mrad.meriem@gmail.com
10.22075/ijnaa.2018.12016.1601
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.
Integral inequality,log-convex function,Hölder inequality,power mean inequality
https://ijnaa.semnan.ac.ir/article_3094.html
https://ijnaa.semnan.ac.ir/article_3094_ca41a655282c9d139a02d65706aa0d5c.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
A new approximation method for common fixed points of a finite family of nonexpansive non-self mappings in Banach spaces
223
234
EN
Pornsak
Yatakoat
Division of Mathematics, Faculty of Sciences, Nakhon Phanom University, Nakhon Phanom 48000, Thailand
p_yatakoat@npu.ac.th
10.22075/ijnaa.2018.1596.1416
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.
nonexpansive non-self mappings,Common xed points,Banach spaces
https://ijnaa.semnan.ac.ir/article_3095.html
https://ijnaa.semnan.ac.ir/article_3095_d8a45ff392ad80350a74ef5cf80f13b7.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
Homomorphism Weak amenability of certain Banach algebras
235
245
EN
Hamid
Sadeghi
Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran
sadeghi@sci.ui.ac.ir
Mahmmod
Lashkarizadeh
Department of Mathematics, Faculty of Science, University of Isfahan, Isfahan, Iran
lashkarizadeh@sci.ui.ac.ir
10.22075/ijnaa.2018.1201.1276
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.
Banach algebra,$varphi$-commutative,$varphi$-derivation,$varphi$-weakly amenability
https://ijnaa.semnan.ac.ir/article_3099.html
https://ijnaa.semnan.ac.ir/article_3099_3c9686cd0612388fda1d7fbfe656ad40.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
9
1
2018
08
01
Higher order multi-point fractional boundary value problems with integral boundary conditions
247
260
EN
İsmail
Yaslan
Department of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, Turkey
iyaslan@pau.edu.tr
Mustafa
Gunendi
Department of Mathematics, Science and Art Faculty, Pamukkale University, Denizli, Turkey
mustafa_87875@hotmail.com
10.22075/ijnaa.2018.13610.1708
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.
Boundary value problems,cone,fixed point theorems,positive solutions,Riemann-Liouville fractional derivative,integral boundary conditions
https://ijnaa.semnan.ac.ir/article_3096.html
https://ijnaa.semnan.ac.ir/article_3096_c23cec9aa516bada1c5c4819b2c9df69.pdf