Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
02
11
Relative order and type of entire functions represented by Banach valued Dirichlet series in two variables
1
14
EN
Dibyendu
Banerjee
Department of Mathematics, Visva-Bharati, Santiniketan- 731235, India
dibyendu192@rediffmail.com
Nilkanta
Mondal
Ballavpur R.G.S.Vidyapith, Ballavpur-713323, Raniganj, India
nilkanta1986@gmail.com
10.22075/ijnaa.2016.288
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.
Banach valued Dirichlet series,relative order,relative type,Entire function
https://ijnaa.semnan.ac.ir/article_288.html
https://ijnaa.semnan.ac.ir/article_288_5d4b6ff0b04ebc85198867c84f85d85c.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2015
12
11
On the quadratic support of strongly convex functions
15
20
EN
S.
Abbaszadeh
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
s.abbaszadeh.math@gmail.com
M
Eshaghi Gordji
Department of Mathematics, Faculty of Mathematics, Statistics and Computer Sciences, Semnan University, Semnan 35195-363, Iran
madjid.eshgahi@gmail.com
10.22075/ijnaa.2015.273
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.
strongly convex function,Hahn-Banach theorem,$c$-affine functions,quadratic support
https://ijnaa.semnan.ac.ir/article_273.html
https://ijnaa.semnan.ac.ir/article_273_368395c1469c8c8c42fa81b1d2a2a883.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2015
12
10
Nonexpansive mappings on complex C*-algebras and their fixed points
21
29
EN
Davood
Alimohammadi
Department of Mathematics, Faculty of Science, Arak university, Arak 38156-8-8349, Iran
alimohammadi.davood@gmail.com
10.22075/ijnaa.2015.289
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 <br />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.
Banach space,C*-algebra,Fixed point property,Nonexpansive mapping,normed linear space
https://ijnaa.semnan.ac.ir/article_289.html
https://ijnaa.semnan.ac.ir/article_289_75ca5b7bd96a777bf6f51352b152a680.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
01
21
On the fine spectrum of generalized upper triangular double-band matrices $Delta^{uv}$ over the sequence spaces $c_o$ and $c$
31
43
EN
Javad
Fathi
Department of Mathematic, Faculty of Science, Hormozgan University, Bandarabbas, Iran
jfathij@yahoo.com
10.22075/ijnaa.2015.290
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].
Spectrum of an operator,matrix mapping,sequence space
https://ijnaa.semnan.ac.ir/article_290.html
https://ijnaa.semnan.ac.ir/article_290_35d0cd244cf09dff6eaf8a53cd56341d.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
01
27
Common fixed point theorem for nonexpansive type single valued mappings
45
51
EN
Pankaj
Kumar
Jhade
NRI Institute of Information Science & Technology, Bhopal, MP, INDIA-462021
pmathsjhade@gmail.com
A S
Saluja
J H Govt. PG College, Betul India-460001
dssaluja@rediffmail.com
10.22075/ijnaa.2015.293
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].
Nonexpansive mapping,Common fixed point,reciprocal continuous,weak reciprocal continuous
https://ijnaa.semnan.ac.ir/article_293.html
https://ijnaa.semnan.ac.ir/article_293_565f06624c411fcd198bd19c2a9d1e4a.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
02
01
Some fixed point theorems for weakly subsequentially continuous and compatible of type (E) mappings with an application
53
62
EN
Said
Beloul
University of Eloued (Algeria)
beloulsaid@gmail.com
10.22075/ijnaa.2015.294
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.
generalized contractive condition,weakly subsequentially continuous,compatible of type (E),functional equation
https://ijnaa.semnan.ac.ir/article_294.html
https://ijnaa.semnan.ac.ir/article_294_616d183be61dda4a9cc57edf91853d69.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
02
04
Approximate a quadratic mapping in multi-Banach spaces, a fixed point approach
63
75
EN
Sattar
Alizadeh
Marand Branch, Islamic Azad University,
alizades_ms@yahoo.com
Fridoun
Moradlou
Department of Mathematics, Sahand University of Technology, Tabriz, Iran
fridoun.moradlou@gmail.com
10.22075/ijnaa.2015.295
Using the fixed point method, we prove the generalized Hyers-Ulam-Rassias stability of the following functional equation in multi-Banach spaces:<br />begin{equation}<br /> sum_{ j = 1}^{n}fBig(-2 x_{j} + sum_{ i = 1, ineq j}^{n} x_{i}Big) =<br />(n-6) fBig(sum_{ i = 1}^{n} x_{i}Big) + 9 sum_{ i = 1}^{n}<br />f(x_{i}).<br />end{equation}
Fixed point method, Hyers-Ulam-Rassias stability,Multi-Banach spaces, Quadratic mapping
https://ijnaa.semnan.ac.ir/article_295.html
https://ijnaa.semnan.ac.ir/article_295_c27b0b230605db7769e5251a845fed26.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
02
18
On the generalization of Trapezoid Inequality for functions of two variables with bounded variation and applications
77
85
EN
Huseyin
Budak
0000-0001-8843-955X
Department of Mathematics, Faculty of Science and Arts, D\"{u}zce University, D\"{u}zce-Turkey
hsyn.budak@gmail.com
Mehmet
Sarikaya
Department of Mathematics, Faculty of Science and Arts, D\"{u}zce University, D\"{u}zce-Turkey
sarikayamz@gmail.com
10.22075/ijnaa.2015.296
In this paper, a generalization of trapezoid inequality for functions of two independent variables with bounded variation and some applications are given.
Bounded Variation,Ostrowski type inequalities,Riemann-Stieltjes,Trapezoid Inequality
https://ijnaa.semnan.ac.ir/article_296.html
https://ijnaa.semnan.ac.ir/article_296_24c7771b70f4d911a2cd1e8f6b47c36b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
02
27
Generalized solution of Sine-Gordon equation
87
92
EN
Lalla Saadia
Chadli
Sultan Moulay Slimane University
chadli@fstbm.ac.ma
Said
Melliani
Sultan Moulay Slimane University
saidmelliani@gmail.com
Abdelaziz
Moujahid
Sultan Moulay Slimane University
same@fstbm.ac.ma
Mhamed
Elomari
Sultan Moulay Slimane University
mhamedmaster@gmail.com
10.22075/ijnaa.2015.297
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.
Algebra Colombeau,Generalized functions theory,Sine-Gordon equation
https://ijnaa.semnan.ac.ir/article_297.html
https://ijnaa.semnan.ac.ir/article_297_7593898e083c1954e8404529bfff0844.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
03
01
Titchmarsh theorem for Jacobi Dini-Lipshitz functions
93
101
EN
Mustapha
Boujeddaine
Department of Mathematics and Computer Sciences, Faculty of Sciences,
Equipe d'Analyse Harmonique et Probabilites, Universite Moulay Ismal,
BP 11201 Zitoune, Meknes, Morocco
boujeddainemustapha@gmail.com
Said
Fahlaoui
Department of Mathematics and Computer Sciences, Faculty of Sciences,
Equipe d'Analyse Harmonique et Probabilites, Universite Moulay Ismal,
BP 11201 Zitoune, Meknes, Morocco
saidfahlaoui@gmail.com
Radouan
Daher
Department of Mathematics, Faculty of Sciences An Chock,
University of Hassan II, BP 5366, Maarif, Casablanca, Morocco
rjdaher024@gmail.com
10.22075/ijnaa.2015.298
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 $L^{p}$.
Dini-Lipschitz functions,Jacobi operator,Jacobi transform
https://ijnaa.semnan.ac.ir/article_298.html
https://ijnaa.semnan.ac.ir/article_298_98bc5a10d20c0d2f6d2e2df1b9b479f4.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2015
12
16
Some new results using Hadamard fractional integral
103
109
EN
Sabrina
Taf
Department of Mathematic, Faculty SEI, UMAB University of Mostaganem, Algeria
sabrina481@hotmail.fr
Kamel
Brahim
Faculty of science of Tunis, Tunisia
kamel.brahim@ipeit.rnu.tn
10.22075/ijnaa.2015.299
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.
Hadamard fractional integral,Fractional integral inequalities,Minkowski's inequality
https://ijnaa.semnan.ac.ir/article_299.html
https://ijnaa.semnan.ac.ir/article_299_8f090a9047f90a63156afc736973f47f.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2015
11
17
Some common fixed point theorems for four $(psi,varphi)$-weakly contractive mappings satisfying rational expressions in ordered partial metric spaces
111
130
EN
R.A.
Rashwan
Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
rr_rashwan54@yahoo.com
S.M.
Saleh
Department of Mathematics, Faculty of Science, Assiut University, Assiut, Egypt
samirasaleh2007@yahoo.com
10.22075/ijnaa.2015.300
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.
Common fixed point,rational contractions,ordered partial metric spaces,dominating and dominated mappings
https://ijnaa.semnan.ac.ir/article_300.html
https://ijnaa.semnan.ac.ir/article_300_ee2c2f17e0cefae6067c770ab7ee52a6.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
01
07
A determinant inequality and log-majorisation for operators
131
140
EN
Seyed Mahmoud
Manjegani
Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran, 84156-83111
manjgani@cc.iut.ac.ir
10.22075/ijnaa.2015.301
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 $t(1)<infty$, $$prod_{k=1}^n(det a_k)^{lambda_k},le,det (sum_{k=1}^n lambda_k a_k),$$<br />where $det a=exp(int_0^{t(1)} mu_a(t),dt)$. If furthermore $t(a_i)<infty$ for every $1le ile n$ and $ prod_{k=1}^n(det a_k)^{lambda_k}neq 0$,<br /> then equality holds if and only if $a_1=a_2=cdots =a_n$. A log-majorisation version of Young inequality are given as well.
Singular values,Semifinite trace,Majorisation,log-majorisation
https://ijnaa.semnan.ac.ir/article_301.html
https://ijnaa.semnan.ac.ir/article_301_f16f986333a145f2dd7a7128e1029da9.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2015
11
01
On the $s^{th}$ derivative of a polynomial
141
145
EN
Abdullah
Mir
Department of Mathematics, University of Kashmir, Srinagar, $190006$, (India)
mabdullah_mir@yahoo.co.in
10.22075/ijnaa.2015.130
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.
Polynomial,Zeros,$s^{th}$ derivative
https://ijnaa.semnan.ac.ir/article_130.html
https://ijnaa.semnan.ac.ir/article_130_55c76fca4b5e4d033c72d893fe0a47b7.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
01
15
Vector ultrametric spaces and a fixed point theorem for correspondences
147
153
EN
Kourosh
Nourouzi
Faculty of Mathematics, K.N. Toosi University of Technology, P.O. Box 16315-1618, Tehran, Iran
nourouzi@kntu.ac.ir
10.22075/ijnaa.2015.302
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.
Vector ultra metric space,Correspondence,Fixed point
https://ijnaa.semnan.ac.ir/article_302.html
https://ijnaa.semnan.ac.ir/article_302_8a23d5e13714c2c3f04be5ce3ed78c8c.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2015
11
30
Variational inequalities on Hilbert $C^*$-modules
155
165
EN
Hedayat
Fathi
Department of Mathematics, Shahid Beheshti University, Tehran, Iran
hedayat.fathi@yahoo.com
S.A.R.
Hosseinioun
Department of Mathematics, Shahid Beheshti University, Tehran, Iran;
Department of Mathematics, University of Arkansas,
Fayetteville, Arkansas 72701, USA
ahosseinioun@yahoo.com
10.22075/ijnaa.2015.303
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.
variational inequality,Hilbert $C^*$-module,metric projection,Fixed point
https://ijnaa.semnan.ac.ir/article_303.html
https://ijnaa.semnan.ac.ir/article_303_379b7e5db0cd9d58ab8583a7f784939c.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
03
19
Approximately generalized additive functions in several variables via fixed point method
167
181
EN
R.
Farokhzad Rostami
Department of Mathematics, Gonbad Kavous University, Gonbad Kavous, Golestan, Iran
razieh.farokhzad@yahoo.com
S.A.R.
Hoseinioun
Department of Mathematical Sciences, University of Arkansas, Fayetteville, Arkansas 72701, USA
ahosseinioun@yahoo.com
10.22075/ijnaa.2015.304
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 equation<br />begin{align*}<br />&D_f(x_{1},.., x_{m}):= sum^{m}_{k=2}(sum^{k}_{i_{1}=2}<br />sum^{k+1}_{i_{2}=i_{1}+1}... sum^{m}_{i_{m-k+1}=i_{m-k}+1})<br /> f(sum^{m}_{i=1, ineq i_{1},...,i_{m-k+1} }<br /> x_{i}-sum^{m-k+1}_{ r=1} x_{i_{r}})\& hspace {2.8cm}+f(sum^{m}_{ i=1} x_{i})<br />-2^{m-1} f(x_{1})=0<br />end{align*}<br />where $m geq 2$ is an integer number.
Additive function,$p$-Banach spaces,Random normed spaces,Non-Archimedean spaces,Fixed point method,generalized Hyers-Ulam stability
https://ijnaa.semnan.ac.ir/article_304.html
https://ijnaa.semnan.ac.ir/article_304_9d50c3cecad33f485b18a635d7221af3.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
02
06
Coupled coincidence point in ordered cone metric spaces with examples in game theory
183
194
EN
Alireza
Naeimi Sadigh
Department of Mathematics, Statistics and Computer science, Semnan University, P.O. Box 35195-363, Semnan, Iran
anaeimi@gmail.com
Samaneh
Ghods
Department of Mathematics, Islamic Azad University, Semnan Branch, Semnan, Iran
s1ghods@gmail.com
10.22075/ijnaa.2015.305
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.
Coupled fixed point,Coupled coincidence Fixed point,Partially ordered sets,Cone metric space,game theory,Nash equilibrium
https://ijnaa.semnan.ac.ir/article_305.html
https://ijnaa.semnan.ac.ir/article_305_50df6bdc73b5dc783d4dfd0d2c6a6513.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
03
25
On a class of paracontact Riemannian manifold
195
205
EN
Mahmood
Parchetalab
Department of Mathematics, Faculty of Science, Arak university, Arak 38156-8-8349, Iran
m-parchetalab@araku.ac.ir
10.22075/ijnaa.2015.306
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.
paracontact structure,Einstein structure,parasasakian
https://ijnaa.semnan.ac.ir/article_306.html
https://ijnaa.semnan.ac.ir/article_306_7b5dec458ce15e057e2a3d1addca1f0b.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
02
26
Existence of solution and solving the integro-differential equations system by the multi-wavelet Petrov-Galerkin method
207
218
EN
Mohsen
Rabbani
Department of Mathematics, Sari Branch, Islamic Azad University, Sari, Iran
mrabbani@iust.ac.ir
10.22075/ijnaa.2015.307
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.
System of Integro-differential equations,Multi-wavelet,Petrov-Galerkin,Regular pairs,Trial space,Test space
https://ijnaa.semnan.ac.ir/article_307.html
https://ijnaa.semnan.ac.ir/article_307_74c3fcefd0d66fde79c657652f29cbcd.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
03
05
On fixed points of fundamentally nonexpansive mappings in Banach spaces
219
224
EN
Mohammad
Moosaei
Department of Mathematics, Faculty of Science, Bu-Ali Sina University, Hamedan, Iran
m.moosaei@basu.ac.ir
10.22075/ijnaa.2015.308
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.
Fixed point,fundamentally nonexpansive mappings,nonexpansive mappings,Opial's condition,uniformly convex Banach spaces
https://ijnaa.semnan.ac.ir/article_308.html
https://ijnaa.semnan.ac.ir/article_308_db07694ccc7a387cc590bac3f64bd749.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
02
12
Common fixed point of multivalued graph contraction in metric spaces
225
230
EN
Masoud
Hadian Dehkordi
Department of Mathematics, Faculty
of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran
mhadian@iust.ac.ir
Masoud
Ghods
Department of Mathematics, Faculty
of Basic Science,Iran University of Science and Technology, Narmak, Tehran,Iran
mghods@iust.ac.ir
10.22075/ijnaa.2015.309
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 $G.$
Fixed point,multivalued,common(G-$psi$) contraction,directed graph
https://ijnaa.semnan.ac.ir/article_309.html
https://ijnaa.semnan.ac.ir/article_309_2b668c7b7359b2f90973027b71b332c3.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
04
08
Dynamical behavior of a stage structured prey-predator model
231
241
EN
Shashi
Kant
Department of Applied Mathematics, Delhi Technological University, Delhi 110042, India
onlineskmishra@gmail.com
Vivek
Kumar
Department of Applied Mathematics, Delhi Technological University, Delhi 110042, India
vivekumar@gmail.com
10.22075/ijnaa.2015.311
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.
Stage Structured Population,Global Stability,Local Stability
https://ijnaa.semnan.ac.ir/article_311.html
https://ijnaa.semnan.ac.ir/article_311_ea84e1c2cacf1562a1872a4dda1ad2b9.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
01
04
An analog of Titchmarsh's theorem for the Bessel transform in the space $mathrm{L}_{p,alpha}(mathbb{R}_{+})$
243
248
EN
Mohamed
El Hamma
Department of Mathematics, Faculty of Sciences A"{i}n Chock,
University of Hassan II, BP 5366, Maarif, Casablanca, Morocco
m_elhamma@yahoo.fr
R.
Daher
Department of Mathematics, Faculty of Sciences A\"{\i}n Chock,
University of Hassan II, BP 5366, Maarif, Casablanca, Morocco
rjdaher024@gmail.com
M.
Boujeddaine
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
boujeddainemustapha@gmail.com
10.22075/ijnaa.2015.312
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 $1<pleq 2$.
Bessel operator,Bessel transform,Bessel generalized translation
https://ijnaa.semnan.ac.ir/article_312.html
https://ijnaa.semnan.ac.ir/article_312_6d7a608b8b31cc91bf4c1e508fe5d3ab.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
04
08
On a Hardy-Hilbert-Type Inequality with a General Homogeneous Kernel
249
269
EN
Michael Th.
Rassias
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
michailrassias@math.princeton.edu
Bicheng
Yang
Department of Mathematics, Guangdong University of Education, Guangzhou, Guangdong 510303, P. R. China
bcyang@gdei.edu.cn
10.22075/ijnaa.2015.323
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.
Hardy-Hilbert-type inequality, weight coefficient, equivalent form, reverse,operator
https://ijnaa.semnan.ac.ir/article_323.html
https://ijnaa.semnan.ac.ir/article_323_fdd0e926c44dc6c795dd27dfb4bef204.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
05
01
On the shadowing property of nonautonomous discrete systems
271
277
EN
Hossein
Rasuoli
Young Researchers and Elite Club, Malayer Branch, Azad University, Malayer, Iran
hoseinrasuli@yahoo.com
10.22075/ijnaa.2015.291
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.
Nonautonomous discrete system,nonautonomos difference equation,shadowing property
https://ijnaa.semnan.ac.ir/article_291.html
https://ijnaa.semnan.ac.ir/article_291_3a018c19284bae1aec6ba9b21f64092c.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
02
18
Regularized fractional derivatives in Colombeau algebra
279
287
EN
Mohsen
Alimohammady
Department of Mathematics, University of Mazandaran, Babolsar, Iran
amohsen@umz.ac.ir
Fariba
Fattahi Amirdehi
Department of mathematics, University of Mazandaran, babolsar, Iran
fariba.fattahi30@gmail.com
10.22075/ijnaa.2015.147
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.
https://ijnaa.semnan.ac.ir/article_147.html
https://ijnaa.semnan.ac.ir/article_147_ab2bc88c6c15434692b835d36280d41a.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
04
28
Functionally closed sets and functionally convex sets in real Banach spaces
289
294
EN
Madjid
Eshaghi
Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
madjid.eshaghi@gmail.com
Hamidreza
Reisi Dezaki
Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran
hamidreza.reisi@gmail.com
Alireza
Moazzen
Kosar University of Bojnord, Bojnord, Iran
ar.moazzen@yahoo.com
10.22075/ijnaa.2015.340
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.
Convex set,Chebyshev set,Krein-Milman theorem
https://ijnaa.semnan.ac.ir/article_340.html
https://ijnaa.semnan.ac.ir/article_340_0cfc0fd433839779402cad7c246e5cc6.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
04
04
On intermediate value theorem in ordered Banach spaces for noncompact and discontinuous mappings
295
300
EN
Ali
Farajzadeh
Department of Mathematics, Razi University, Kermanshah
farajzadehali@gmail.com
10.22075/ijnaa.2015.341
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.
intermediate value theorem,Fixed point,increasing mapping,algebraic interior,normal cone
https://ijnaa.semnan.ac.ir/article_341.html
https://ijnaa.semnan.ac.ir/article_341_ffd5a9c8d2472ec439f9cf564da35d43.pdf
Semnan University
International Journal of Nonlinear Analysis and Applications
2008-6822
7
1
2016
06
01
Completely continuous Banach algebras
301
308
EN
Bahman
Hayati
Department of Mathematics, Malayer University, P.O. Box 16846-13114, Malayer, Iran
bahmanhayati@yahoo.com
10.22075/ijnaa.2016.383
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.
Amenability,Completely continuous,Banach algebra
https://ijnaa.semnan.ac.ir/article_383.html
https://ijnaa.semnan.ac.ir/article_383_3bb2ce040cb0b5b1b2133ec62d0d7465.pdf