eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-02-11
7
1
1
14
10.22075/ijnaa.2016.288
288
Relative order and type of entire functions represented by Banach valued Dirichlet series in two variables
Dibyendu Banerjee
dibyendu192@rediffmail.com
1
Nilkanta Mondal
nilkanta1986@gmail.com
2
Department of Mathematics, Visva-Bharati, Santiniketan- 731235, India
Ballavpur R.G.S.Vidyapith, Ballavpur-713323, Raniganj, India
In this paper, we introduce the idea of relative order and type of entire functions represented by Banach valued Dirichlet series of two complex variables to generalize some earlier results. Proving some preliminary theorems on the relative order, we obtain sum and product theorems and we show that the relative order of an entire function represented by Dirichlet series is the same as that of its partial derivative.
http://ijnaa.semnan.ac.ir/article_288_5d4b6ff0b04ebc85198867c84f85d85c.pdf
Banach valued Dirichlet series
relative order
relative type
Entire function
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-12-11
7
1
15
20
10.22075/ijnaa.2015.273
273
On the quadratic support of strongly convex functions
S. Abbaszadeh
s.abbaszadeh.math@gmail.com
1
M Eshaghi Gordji
madjid.eshgahi@gmail.com
2
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
In this paper, we first introduce the notion of $c$-affine functions for $c> 0$. Then we deal with some properties of strongly convex functions in real inner product spaces by using a quadratic support function at each point which is $c$-affine. Moreover, a Hyers–-Ulam stability result for strongly convex functions is shown.
http://ijnaa.semnan.ac.ir/article_273_368395c1469c8c8c42fa81b1d2a2a883.pdf
strongly convex function
Hahn-Banach theorem
$c$-affine functions
quadratic support
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-12-10
7
1
21
29
10.22075/ijnaa.2015.289
289
Nonexpansive mappings on complex C*-algebras and their fixed points
Davood Alimohammadi
alimohammadi.davood@gmail.com
1
Department of Mathematics, Faculty of Science, Arak university, Arak 38156-8-8349, Iran
A normed space $mathfrak{X}$ is said to have the fixed point property, if for each nonexpansive mapping $T : E longrightarrow E $ on a nonempty bounded closed convex subset $ E $ of $ mathfrak{X} $ has a fixed point. In this paper, we first show that if $ X $ is a locally compact Hausdorff space then the following are equivalent: (i) $X$ is infinite set, (ii) $C_0(X)$ is infinite dimensional, (iii) $C_0 (X)$ does not have the fixed point property. We also show that if $A$ is a commutative complex $ mathsf{C}^star$--algebra with nonempty carrier space, then the following statements are equivalent: (i) Carrier space of $ A $ is infinite, (ii) $ A $ is infinite dimensional, (iii) $ A $ does not have the fixed point property. Moreover, we show that if $ A $ is an infinite complex $ mathsf{C}^star$--algebra (not necessarily commutative), then $ A $ does not have the fixed point property.
http://ijnaa.semnan.ac.ir/article_289_75ca5b7bd96a777bf6f51352b152a680.pdf
Banach space
C*-algebra
Fixed point property
Nonexpansive mapping
normed linear space
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-01-21
7
1
31
43
10.22075/ijnaa.2015.290
290
On the fine spectrum of generalized upper triangular double-band matrices $Delta^{uv}$ over the sequence spaces $c_o$ and $c$
Javad Fathi
jfathij@yahoo.com
1
Department of Mathematic, Faculty of Science, Hormozgan University, Bandarabbas, Iran
The main purpose of this paper is to determine the fine spectrum of the generalized upper triangular double-band matrices uv over the sequence spaces c0 and c. These results are more general than the spectrum of upper triangular double-band matrices of Karakaya and Altun[V. Karakaya, M. Altun, Fine spectra of upper triangular doubleband matrices, Journal of Computational and Applied Mathematics, 234(2010) 1387-1394].
http://ijnaa.semnan.ac.ir/article_290_35d0cd244cf09dff6eaf8a53cd56341d.pdf
Spectrum of an operator
matrix mapping
sequence space
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-01-27
7
1
45
51
10.22075/ijnaa.2015.293
293
Common fixed point theorem for nonexpansive type single valued mappings
Pankaj Jhade
pmathsjhade@gmail.com
1
A S Saluja
dssaluja@rediffmail.com
2
NRI Institute of Information Science & Technology, Bhopal, MP, INDIA-462021
J H Govt. PG College, Betul India-460001
The aim of this paper is to prove a common fixed point theorem for nonexpansive type single valued mappings which include both continuous and discontinuous mappings by relaxing the condition of continuity by weak reciprocally continuous mapping. Our result is generalize and extends the corresponding result of Jhade et al. [P.K. Jhade, A.S. Saluja and R. Kushwah, Coincidence and fixed points of nonexpansive type multivalued and single valued maps, European J. Pure Appl. Math., 4 (2011) 330-339].
http://ijnaa.semnan.ac.ir/article_293_565f06624c411fcd198bd19c2a9d1e4a.pdf
Nonexpansive mapping
Common fixed point
reciprocal continuous
weak reciprocal continuous
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-02-01
7
1
53
62
10.22075/ijnaa.2015.294
294
Some fixed point theorems for weakly subsequentially continuous and compatible of type (E) mappings with an application
Said Beloul
beloulsaid@gmail.com
1
University of Eloued (Algeria)
In this paper, we will establish some xed point results for two pairs of self mappings satisfying generalized contractive condition by using a new concept as weak subsequential continuity with compatibility of type (E) in metric spaces, as an application the existence of unique common solution for a system of functional equations arising in system programming is proved.
http://ijnaa.semnan.ac.ir/article_294_616d183be61dda4a9cc57edf91853d69.pdf
generalized contractive condition
weakly subsequentially continuous
compatible of type (E)
functional equation
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-02-04
7
1
63
75
10.22075/ijnaa.2015.295
295
Approximate a quadratic mapping in multi-Banach spaces, a fixed point approach
Sattar Alizadeh
alizades_ms@yahoo.com
1
Fridoun Moradlou
fridoun.moradlou@gmail.com
2
Marand Branch, Islamic Azad University,
Department of Mathematics, Sahand University of Technology, Tabriz, Iran
Using the fixed point method, we prove the generalized Hyers-Ulam-Rassias stability of the following functional equation in multi-Banach spaces:begin{equation} sum_{ j = 1}^{n}fBig(-2 x_{j} + sum_{ i = 1, ineq j}^{n} x_{i}Big) =(n-6) fBig(sum_{ i = 1}^{n} x_{i}Big) + 9 sum_{ i = 1}^{n}f(x_{i}).end{equation}
http://ijnaa.semnan.ac.ir/article_295_c27b0b230605db7769e5251a845fed26.pdf
Fixed point method, Hyers-Ulam-Rassias stability
Multi-Banach spaces, Quadratic mapping
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-02-18
7
1
77
85
10.22075/ijnaa.2015.296
296
On the generalization of Trapezoid Inequality for functions of two variables with bounded variation and applications
Huseyin Budak
hsyn.budak@gmail.com
1
Mehmet Sarikaya
sarikayamz@gmail.com
2
Department of Mathematics, Faculty of Science and Arts, D\"{u}zce University, D\"{u}zce-Turkey
Department of Mathematics, Faculty of Science and Arts, D\"{u}zce University, D\"{u}zce-Turkey
In this paper, a generalization of trapezoid inequality for functions of two independent variables with bounded variation and some applications are given.
http://ijnaa.semnan.ac.ir/article_296_24c7771b70f4d911a2cd1e8f6b47c36b.pdf
Bounded Variation
Ostrowski type inequalities
Riemann-Stieltjes
Trapezoid Inequality
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-02-27
7
1
87
92
10.22075/ijnaa.2015.297
297
Generalized solution of Sine-Gordon equation
Lalla Saadia Chadli
chadli@fstbm.ac.ma
1
Said Melliani
saidmelliani@gmail.com
2
Abdelaziz Moujahid
same@fstbm.ac.ma
3
Mhamed Elomari
mhamedmaster@gmail.com
4
Sultan Moulay Slimane University
Sultan Moulay Slimane University
Sultan Moulay Slimane University
Sultan Moulay Slimane University
In this paper, we are interested to study the Sine-Gordon equation in generalized functions theory introduced by Colombeau, in the first we give result of existence and uniqueness of generalized solution with initial data are distributions (elements of the Colombeau algebra). Then we study the association concept with the classical solution.
http://ijnaa.semnan.ac.ir/article_297_7593898e083c1954e8404529bfff0844.pdf
Algebra Colombeau
Generalized functions theory
Sine-Gordon equation
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-03-01
7
1
93
101
10.22075/ijnaa.2015.298
298
Titchmarsh theorem for Jacobi Dini-Lipshitz functions
Mustapha Boujeddaine
boujeddainemustapha@gmail.com
1
Said Fahlaoui
saidfahlaoui@gmail.com
2
Radouan Daher
rjdaher024@gmail.com
3
Department of Mathematics and Computer Sciences, Faculty of Sciences, Equipe d'Analyse Harmonique et Probabilites, Universite Moulay Ismal, BP 11201 Zitoune, Meknes, Morocco
Department of Mathematics and Computer Sciences, Faculty of Sciences, Equipe d'Analyse Harmonique et Probabilites, Universite Moulay Ismal, BP 11201 Zitoune, Meknes, Morocco
Department of Mathematics, Faculty of Sciences An Chock, University of Hassan II, BP 5366, Maarif, Casablanca, Morocco
Our aim in this paper is to prove an analog of Younis's Theorem on the image under the Jacobi transform of a class functions satisfying a generalized Dini-Lipschitz condition in the space $mathrm{L}_{(alpha,beta)}^{p}(mathbb{R}^{+})$, $(1< pleq 2)$. It is a version of Titchmarsh's theorem on the description of the image under the Fourier transform of a class of functions satisfying the Dini-Lipschitz condition in $L^{p}$.
http://ijnaa.semnan.ac.ir/article_298_98bc5a10d20c0d2f6d2e2df1b9b479f4.pdf
Dini-Lipschitz functions
Jacobi operator
Jacobi transform
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-12-16
7
1
103
109
10.22075/ijnaa.2015.299
299
Some new results using Hadamard fractional integral
Sabrina Taf
sabrina481@hotmail.fr
1
Kamel Brahim
kamel.brahim@ipeit.rnu.tn
2
Department of Mathematic, Faculty SEI, UMAB University of Mostaganem, Algeria
Faculty of science of Tunis, Tunisia
Fractional calculus is the field of mathematical analysis which deals with the investigation and applications of integrals and derivatives of arbitrary order. The purpose of this work is to use Hadamard fractional integral to establish some new integral inequalities of Gruss type by using one or two parameters which ensues four main results . Furthermore, other integral inequalities of reverse Minkowski's type are obtained for positive functions resulting in two theorems.
http://ijnaa.semnan.ac.ir/article_299_8f090a9047f90a63156afc736973f47f.pdf
Hadamard fractional integral
Fractional integral inequalities
Minkowski's inequality
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-11-17
7
1
111
130
10.22075/ijnaa.2015.300
300
Some common fixed point theorems for four $(psi,varphi)$-weakly contractive mappings satisfying rational expressions in ordered partial metric spaces
R.A. Rashwan
rr_rashwan54@yahoo.com
1
S.M. Saleh
samirasaleh2007@yahoo.com
2
Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
The aim of this paper is to prove some common fixed point theorems for four mappings satisfying $(psi,varphi)$-weak contractions involving rational expressions in ordered partial metric spaces. Our results extend, generalize and improve some well-known results in the literature. Also, we give two examples to illustrate our results.
http://ijnaa.semnan.ac.ir/article_300_ee2c2f17e0cefae6067c770ab7ee52a6.pdf
Common fixed point
rational contractions
ordered partial metric spaces
dominating and dominated mappings
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-01-07
7
1
131
140
10.22075/ijnaa.2015.301
301
A determinant inequality and log-majorisation for operators
Seyed Mahmoud Manjegani
manjgani@cc.iut.ac.ir
1
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran, 84156-83111
Let $lambda_1,dots,lambda_n$ be positive real numbers such that $sum_{k=1}^n lambda_k=1$. In this paper, we prove that for any positive operators $a_1,a_2,ldots, a_n$ in semifinite von Neumann algebra $M$ with faithful normal trace that $t(1)
http://ijnaa.semnan.ac.ir/article_301_f16f986333a145f2dd7a7128e1029da9.pdf
Singular values
Semifinite trace
Majorisation
log-majorisation
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-11-01
7
1
141
145
10.22075/ijnaa.2015.130
130
On the $s^{th}$ derivative of a polynomial
Abdullah Mir
mabdullah_mir@yahoo.co.in
1
Department of Mathematics, University of Kashmir, Srinagar, $190006$, (India)
For every $1leq s< n$, the $s^{th}$ derivative of a polynomial $P(z)$ of degree $n$ is a polynomial $P^{(s)}(z)$ whose degree is $(n-s)$. This paper presents a result which gives generalizations of some inequalities regarding the $s^{th}$ derivative of a polynomial having zeros outside a circle. Besides, our result gives interesting refinements of some well-known results.
http://ijnaa.semnan.ac.ir/article_130_55c76fca4b5e4d033c72d893fe0a47b7.pdf
Polynomial
Zeros
$s^{th}$ derivative
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-01-15
7
1
147
153
10.22075/ijnaa.2015.302
302
Vector ultrametric spaces and a fixed point theorem for correspondences
Kourosh Nourouzi
nourouzi@kntu.ac.ir
1
Faculty of Mathematics, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran
In this paper, vector ultrametric spaces are introduced and a fixed point theorem is given for correspondences. Our main result generalizes a known theorem in ordinary ultrametric spaces.
http://ijnaa.semnan.ac.ir/article_302_8a23d5e13714c2c3f04be5ce3ed78c8c.pdf
Vector ultra metric space
Correspondence
fixed point
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2015-11-30
7
1
155
165
10.22075/ijnaa.2015.303
303
Variational inequalities on Hilbert $C^*$-modules
Hedayat Fathi
hedayat.fathi@yahoo.com
1
S.A.R. Hosseinioun
ahosseinioun@yahoo.com
2
Department of Mathematics, Shahid Beheshti University, Tehran, Iran
Department of Mathematics, Shahid Beheshti University, Tehran, Iran; Department of Mathematics, University of Arkansas, Fayetteville, Arkansas 72701, USA
We introduce variational inequality problems on Hilbert $C^*$-modules and we prove several existence results for variational inequalities defined on closed convex sets. Then relation between variational inequalities, $C^*$-valued metric projection and fixed point theory on Hilbert $C^*$-modules is studied.
http://ijnaa.semnan.ac.ir/article_303_379b7e5db0cd9d58ab8583a7f784939c.pdf
variational inequality
Hilbert $C^*$-module
metric projection
fixed point
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-03-19
7
1
167
181
10.22075/ijnaa.2015.304
304
Approximately generalized additive functions in several variables via fixed point method
R. Farokhzad Rostami
razieh.farokhzad@yahoo.com
1
S.A.R. Hoseinioun
ahosseinioun@yahoo.com
2
Department of Mathematics, Gonbad Kavous University, Gonbad Kavous, Golestan, Iran
Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA
In this paper, we obtain the general solution and the generalized Hyers-Ulam-Rassias stability in random normed spaces, in non-Archimedean spaces and also in $p$-Banach spaces and finally the stability via fixed point method for a functional equationbegin{align*}&D_f(x_{1},.., x_{m}):= sum^{m}_{k=2}(sum^{k}_{i_{1}=2}sum^{k+1}_{i_{2}=i_{1}+1}... sum^{m}_{i_{m-k+1}=i_{m-k}+1}) f(sum^{m}_{i=1, ineq i_{1},...,i_{m-k+1} } x_{i}-sum^{m-k+1}_{ r=1} x_{i_{r}})\& hspace {2.8cm}+f(sum^{m}_{ i=1} x_{i})-2^{m-1} f(x_{1})=0end{align*}where $m geq 2$ is an integer number.
http://ijnaa.semnan.ac.ir/article_304_9d50c3cecad33f485b18a635d7221af3.pdf
Additive function
$p$-Banach spaces
Random normed spaces
Non-Archimedean spaces
Fixed point method
generalized Hyers-Ulam stability
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-02-06
7
1
183
194
10.22075/ijnaa.2015.305
305
Coupled coincidence point in ordered cone metric spaces with examples in game theory
Alireza Naeimi Sadigh
anaeimi@gmail.com
1
Samaneh Ghods
s1ghods@gmail.com
2
Department of Mathematics, Statistics and Computer science, Semnan University, P.O. Box 35195-363, Semnan, Iran
Department of Mathematics, Islamic Azad University, Semnan Branch, Semnan, Iran
In this paper, we prove some coupled coincidence point theorems for mappings with the mixed monotone property and obtain the uniqueness of this coincidence point. Then we providing useful examples in Nash equilibrium.
http://ijnaa.semnan.ac.ir/article_305_50df6bdc73b5dc783d4dfd0d2c6a6513.pdf
coupled fixed point
Coupled coincidence Fixed point
Partially ordered sets
Cone metric space
Game theory
Nash equilibrium
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-03-25
7
1
195
205
10.22075/ijnaa.2015.306
306
On a class of paracontact Riemannian manifold
Mahmood Parchetalab
m-parchetalab@araku.ac.ir
1
Department of Mathematics, Faculty of Science, Arak university, Arak 38156-8-8349, Iran
We classify the paracontact Riemannian manifolds that their Riemannian curvature satisfies in the certain condition and we show that this classification is hold for the special cases semi-symmetric and locally symmetric spaces. Finally we study paracontact Riemannian manifolds satisfying R(X, ξ).S = 0, where S is the Ricci tensor.
http://ijnaa.semnan.ac.ir/article_306_7b5dec458ce15e057e2a3d1addca1f0b.pdf
paracontact structure
Einstein structure
parasasakian
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-02-26
7
1
207
218
10.22075/ijnaa.2015.307
307
Existence of solution and solving the integro-differential equations system by the multi-wavelet Petrov-Galerkin method
Mohsen Rabbani
mrabbani@iust.ac.ir
1
Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
In this paper, we discuss about existence of solution for integro-differential system and then we solve it by using the Petrov-Galerkin method. In the Petrov-Galerkin method choosing the trial and test space is important, so we use Alpert multi-wavelet as basis functions for these spaces. Orthonormality is one of the properties of Alpert multi-wavelet which helps us to reduce computations in the process of discretizing and we drive a system of algebraic equations with small dimension which it leads to approximate solution with high accuracy. We compare the results with similar works and it guarantees the validity and applicability of this method.
http://ijnaa.semnan.ac.ir/article_307_74c3fcefd0d66fde79c657652f29cbcd.pdf
System of Integro-differential equations
Multi-wavelet
Petrov-Galerkin
Regular pairs
Trial space
Test space
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-03-05
7
1
219
224
10.22075/ijnaa.2015.308
308
On fixed points of fundamentally nonexpansive mappings in Banach spaces
Mohammad Moosaei
m.moosaei@basu.ac.ir
1
Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran
We first obtain some properties of a fundamentally nonexpansive self-mapping on a nonempty subset of a Banach space and next show that if the Banach space is having the Opial condition, then the fixed points set of such a mapping with the convex range is nonempty. In particular, we establish that if the Banach space is uniformly convex, and the range of such a mapping is bounded, closed and convex, then its the fixed points set is nonempty, closed and convex.
http://ijnaa.semnan.ac.ir/article_308_db07694ccc7a387cc590bac3f64bd749.pdf
fixed point
fundamentally nonexpansive mappings
nonexpansive mappings
Opial's condition
uniformly convex Banach spaces
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-02-12
7
1
225
230
10.22075/ijnaa.2015.309
309
Common fixed point of multivalued graph contraction in metric spaces
Masoud Hadian Dehkordi
mhadian@iust.ac.ir
1
Masoud Ghods
mghods@iust.ac.ir
2
Department of Mathematics, Faculty of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran
Department of Mathematics, Faculty of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran
In this paper, we introduce the (G-$psi$) contraction in a metric space by using a graph. Let $F,T$ be two multivalued mappings on $X.$ Among other things, we obtain a common fixed point of the mappings $F,T$ in the metric space $X$ endowed with a graph $G.$
http://ijnaa.semnan.ac.ir/article_309_2b668c7b7359b2f90973027b71b332c3.pdf
fixed point
multivalued
common(G-$psi$) contraction
directed graph
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-04-08
7
1
231
241
10.22075/ijnaa.2015.311
311
Dynamical behavior of a stage structured prey-predator model
Shashi Kant
onlineskmishra@gmail.com
1
Vivek Kumar
vivekumar@gmail.com
2
Department of Applied Mathematics, Delhi Technological University, Delhi 110042, India
Department of Applied Mathematics, Delhi Technological University, Delhi 110042, India
In this paper, a new stage structured prey-predator model with linear functional response is proposed and studied. The stages for prey have been considered. The proposed mathematical model consists of three nonlinear ordinary differential equations to describe the interaction among juvenile prey, adult prey and predator populations. The model is analyzed by using linear stability analysis to obtain the conditions for which our model exhibits stability around the possible equilibrium points. Besides this a rigorous global stability analysis has been performed for our proposed model by using Li and Muldowney approach (geometric approach). Global stability conditions for the proposed model are described in the form of theorem. This is not a case study, hence the real parameters are not available for this model. However, model may be simulated by using hypothetical set of parameters. Investigation of real parameters for the proposed model is an open problem.
http://ijnaa.semnan.ac.ir/article_311_ea84e1c2cacf1562a1872a4dda1ad2b9.pdf
Stage Structured Population
Global Stability
Local Stability
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-01-04
7
1
243
248
10.22075/ijnaa.2015.312
312
An analog of Titchmarsh's theorem for the Bessel transform in the space $mathrm{L}_{p,alpha}(mathbb{R}_{+})$
Mohamed El Hamma
m_elhamma@yahoo.fr
1
R. Daher
rjdaher024@gmail.com
2
M. Boujeddaine
boujeddainemustapha@gmail.com
3
Department of Mathematics, Faculty of Sciences A"{i}n Chock, University of Hassan II, BP 5366, Maarif, Casablanca, Morocco
Department of Mathematics, Faculty of Sciences A\"{\i}n Chock, University of Hassan II, BP 5366, Maarif, Casablanca, Morocco
Department of Mathematics and Computer Sciences, Faculty of Sciences, Equipe d'Analyse Harmonique et Probabilit\'{e}s, Universit\'{e} Moulay Isma\"{\i}l. BP 11201 , Zitoune, Mekn\`{e}s, Morocco
Using a Bessel generalized translation, we obtain an analog of Titchmarsh's theorem for the Bessel transform for functions satisfying the Lipschitz condition in the space $mathrm{L}_{p,alpha}(mathbb{R}_{+})$, where $alpha>-frac{1}{2}$ and $1
http://ijnaa.semnan.ac.ir/article_312_6d7a608b8b31cc91bf4c1e508fe5d3ab.pdf
Bessel operator
Bessel transform
Bessel generalized translation
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-04-08
7
1
249
269
10.22075/ijnaa.2015.323
323
On a Hardy-Hilbert-Type Inequality with a General Homogeneous Kernel
Michael Th. Rassias
michailrassias@math.princeton.edu
1
Bicheng Yang
bcyang@gdei.edu.cn
2
Institute of Mathematics, University of Zurich, CH - 8057, Zurich, Switzerland \& Institute for Advanced Study, Program in Interdisciplinary Studies, 1 Einstein Dr, Princeton, NJ 08540, USA
Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China
By the method of weight coefficients and techniques of real analysis, a Hardy-Hilbert-type inequality with a general homogeneous kernel and a best possible constant factor is given. The equivalent forms, the operator expressions with the norm, the reverses and some particular examples are also considered.
http://ijnaa.semnan.ac.ir/article_323_fdd0e926c44dc6c795dd27dfb4bef204.pdf
Hardy-Hilbert-type inequality, weight coefficient, equivalent form, reverse
operator
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-05-01
7
1
271
277
10.22075/ijnaa.2015.291
291
On the shadowing property of nonautonomous discrete systems
Hossein Rasuoli
hoseinrasuli@yahoo.com
1
Young Researchers and Elite Club, Malayer Branch, Azad University, Malayer, Iran
In this paper we study shadowing property for sequences of mappings on compact metric spaces, i.e. nonautonomous discrete dynamical systems. We investigate the relation of weak contractions with shadowing and h-shadowing property.
http://ijnaa.semnan.ac.ir/article_291_3a018c19284bae1aec6ba9b21f64092c.pdf
Nonautonomous discrete system
nonautonomos difference equation
shadowing property
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-02-18
7
1
279
287
10.22075/ijnaa.2015.147
147
Regularized fractional derivatives in Colombeau algebra
Mohsen Alimohammady
amohsen@umz.ac.ir
1
Fariba Fattahi Amirdehi
fariba.fattahi30@gmail.com
2
Department of Mathematics, University of Mazandaran, Babolsar, Iran
Department of mathematics, University of Mazandaran, babolsar, Iran
The present study aims at indicating the existence and uniqueness result of system in extended colombeau algebra. The Caputo fractional derivative is used for solving the system of ODEs. In addition, Riesz fractional derivative of Colombeau generalized algebra is considered. The purpose of introducing Riesz fractional derivative is regularizing it in Colombeau sense. We also give a solution to a nonlinear heat equation illustrating the application of the theory.
http://ijnaa.semnan.ac.ir/article_147_ab2bc88c6c15434692b835d36280d41a.pdf
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-04-28
7
1
289
294
10.22075/ijnaa.2015.340
340
Functionally closed sets and functionally convex sets in real Banach spaces
Madjid Eshaghi
madjid.eshaghi@gmail.com
1
Hamidreza Reisi Dezaki
hamidreza.reisi@gmail.com
2
Alireza Moazzen
ar.moazzen@yahoo.com
3
Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
Kosar University of Bojnord, Bojnord, Iran
Let $X$ be a real normed space, then $C(subseteq X)$ is functionally convex (briefly, $F$-convex), if $T(C)subseteq Bbb R $ is convex for all bounded linear transformations $Tin B(X,R)$; and $K(subseteq X)$ is functionally closed (briefly, $F$-closed), if $T(K)subseteq Bbb R $ is closed for all bounded linear transformations $Tin B(X,R)$. We improve the Krein-Milman theorem on finite dimensional spaces. We partially prove the Chebyshev 60 years old open problem. Finally, we introduce the notion of functionally convex functions. The function $f$ on $X$ is functionally convex (briefly, $F$-convex) if epi $f$ is a $F$-convex subset of $Xtimes mathbb{R}$. We show that every function $f : (a,b)longrightarrow mathbb{R}$ which has no vertical asymptote is $F$-convex.
http://ijnaa.semnan.ac.ir/article_340_0cfc0fd433839779402cad7c246e5cc6.pdf
Convex set
Chebyshev set
Krein-Milman theorem
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-04-04
7
1
295
300
10.22075/ijnaa.2015.341
341
On intermediate value theorem in ordered Banach spaces for noncompact and discontinuous mappings
Ali Farajzadeh
farajzadehali@gmail.com
1
Department of Mathematics, Razi University, Kermanshah
In this paper, a vector version of the intermediate value theorem is established. The main theorem of this article can be considered as an improvement of the main results have been appeared in [textit{On fixed point theorems for monotone increasing vector valued mappings via scalarizing}, Positivity, 19 (2) (2015) 333-340] with containing the uniqueness, convergent of each iteration to the fixed point, relaxation of the relatively compactness and the continuity on the map with replacing topological interior of the cone by the algebraic interior. Moreover, by applying Ascoli-Arzela's theorem an example in order to show that the main theorem of the paper [textit{An intermediate value theorem for monotone operators in ordered Banach spaces}, Fixed point theory and applications, 2012 (1) (2012) 1-4] may fail, is established.
http://ijnaa.semnan.ac.ir/article_341_ffd5a9c8d2472ec439f9cf564da35d43.pdf
intermediate value theorem
fixed point
increasing mapping
algebraic interior
normal cone
eng
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
2008-6822
2016-06-01
7
1
301
308
10.22075/ijnaa.2016.383
383
Completely continuous Banach algebras
Bahman Hayati
bahmanhayati@yahoo.com
1
Department of Mathematics, Malayer University, P.O. Box 16846-13114, Malayer, Iran
For a Banach algebra $fA$, we introduce ~$c.c(fA)$, the set of all $phiin fA^*$ such that $theta_phi:fAto fA^*$ is a completely continuous operator, where $theta_phi$ is defined by $theta_phi(a)=acdotphi$~~ for all $ain fA$. We call $fA$, a completely continuous Banach algebra if $c.c(fA)=fA^*$. We give some examples of completely continuous Banach algebras and a sufficient condition for an open problem raised for the first time by J.E Gal`{e}, T.J. Ransford and M. C. White: Is there exist an infinite dimensional amenable Banach algebra whose underlying Banach space is reflexive? We prove that a reflexive, amenable, completely continuous Banach algebra with the approximation property is trivial.
http://ijnaa.semnan.ac.ir/article_383_3bb2ce040cb0b5b1b2133ec62d0d7465.pdf
amenability
Completely continuous
Banach algebra