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&#039;Analyse Harmonique et Probabilites, Universite Moulay Ismal, BP 11201 Zitoune, Meknes, Morocco boujeddainemustapha@gmail.com Said Fahlaoui Department of Mathematics and Computer Sciences, Faculty of Sciences, Equipe d&#039;Analyse Harmonique et Probabilites, Universite Moulay Ismal, BP 11201 Zitoune, Meknes, Morocco saidfahlaoui@gmail.com Radouan Daher Department of Mathematics, Faculty of Sciences An 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