فهرست مطالب

International Journal Of Nonlinear Analysis And Applications
Volume:7 Issue: 2, Winter - Spring 2016

  • تاریخ انتشار: 1395/10/11
  • تعداد عناوین: 13
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  • Michael Th. Rassias *, Bicheng Yang Pages 1-27
    By the method of weight coefficients, techniques of real analysis and Hermite-Hadamard's inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of the hyperbolic cosecant function with the best possible constant factor expressed in terms of the extended Riemann-zeta function is proved. The more accurate equivalent forms, the operator expressions with the norm, the reverses and some particular cases are also considered.
    Keywords: Hardy, Hilbert, type inequality, extended Riemann, zeta function, Hurwitz zeta function, Gamma function, weight function, equivalent form, operator
  • Somayeh Saiedinezhad * Pages 29-38
    Some functional inequalitiesý ýin variable exponent Lebesgue spaces are presentedý. ýThe bi-weighted modular inequality with variable exponent p(.) for the Hardy operator restricted to noný- ýincreasing function which isý
    ýýinti0nfty(frac1xintx0f(t)dt)p(x)v(x)dxleqýýCinti0nftyf(x)p(x)u(x)dxý,ý
    ýýis studiedý. ýWe show that the exponent p(.) for which these modular inequalities hold must have constant oscillationý. ýAlso we study the boundedness of integral operator Tf(x)=intK(x,y)f(x)dy on Lp(.) when the variable exponent p(.) satisfies someý ýuniform continuity condition that is named beta -controller condition and so multiple interesting results which can beý ýseen as a generalization of the same classical results in the constant exponent caseý, ýderivedý.
    Keywords: Hardy type inequality, Variable exponent Lebesgue space, Modular type inequality
  • A. Valadkhani *, S.A.R. Hosseinioun Pages 39-48
    For a Banach algebra A, A′′ is (−1)-Weakly amenable if A′ is a Banach A′′-bimodule and H1(A′′,A′)={0}. In this paper, among other things, we study the relationships between the (−1)-Weakly amenability of A′′ and the weak amenability of A′′ or A. Moreover, we show that the second dual of every C∗-algebra is (−1) -Weakly amenable.
    Keywords: Banach algebra, Point derivation, (, 1), Weak amenability
  • Kamal Fallahi *, Aris Aghanians Pages 49-58
    In this worký, ýwe formulate Chatterjea contractions using graphs in metric spaces endowed with a graph ýýandþ ýýýýinvestigate ýthe ýexistenceý ýof ýfixed ýpoints ýfor such mappings ýunder two different hypothesesý. We also discuss the uniqueness of the fixed point. The given result is a generalization of Chatterjea's fixed point theorem from metric spaces to metric spaces endowed with a graph.
    Keywords: ??G??, Chatterjea mapping, Fixed point, orbitally ??G??, continuous mapping
  • Zahra Sadati * Pages 59-68
    This paper presents an approach for solving a nonlinear stochastic differential equations (NSDEs) using a new basis functions (NBFs). These functions and their operational matrices are used for representing matrix form of the NBFs. With using this method in combination with the collocation method, the NSDEs are reduced a stochastic nonlinear system of equations and unknowns. Then, the error analysis is proved. Finally, numerical examples illustrate applicability and accuracy of the presented method.
    Keywords: New basis functions, Standard Brownian motion, Stochastic operational matrix, Nonlinear stochastic differential equations
  • Vijay Gupta *, Th. M. Rassias Pages 69-76
    In the present article, we propose the (p,q) variant of genuine Baskakov Durrmeyer operators. We obtain moments and establish some direct results, which include weighted approximation and results in terms of modulus of continuity of second order.
    Keywords: q)$, Beta function, $(p, q)$, Gamma function, Baskakov operators, Durrmeyer variant, Steklov mean, K, functional, direct estimates
  • Sushanta Kumar Mohanta * Pages 77-91
    The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for three self mappings in b-metric spaces. Next, we obtain cone b-metric version of these results by using a scalarization function. Our results extend and generalize several well known comparable results in the existing literature.
    Keywords: Cone b, metric space, scalarization function, point of coincidence, Common fixed point
  • Godwin Chidi Ugwunnadi * Pages 93-108
    In this paper we introduce new modified implicit and explicit algorithms and prove strong convergence of the two algorithms to a common fixed point of a family of uniformly asymptotically regular asymptotically nonexpansive mappings in a real reflexive Banach space with a uniformly Ga^teaux differentiable norm. Our result is applicable in Lp(ℓp) spaces, 1
    Keywords: Fixed point, Banach space, Asymptotically nonexpansive mapping
  • Khalil Ekrami *, Madjid Mirzavaziri, Hamid Reza Ebrahimi Vishki Pages 109-114
    Let A be an algebra. A linear mapping δ:A→A is called a \textit{derivation} if δ(ab)=δ(a)bδ(b) for each a,b∈A. Given two derivations δ and δ′ on a C∗-algebra A, we prove that there exists a derivation Δ on A such that δδ′=Δ2 if and only if either δ′=0 or δ=sδ′ for some s∈C.
    Keywords: Derivation, C?, algebra
  • Xiaohong Zhang, Hee Sik Kim *, Joseph Neggers Pages 115-125
    In this paper, given a poset (X,≤), we introduce some drifts on a groupoid (X,∗) with respect to (X,≤), and we obtain several properties of these drifts related to the notion of Bin(X) . We discuss some connections between fuzzy subalgebras and upward drifts.
    Keywords: Bin(X), (strong, oriented, positive, strict) upward drift, selective, BCK, algebra, fuzzy subalgebra
  • Mehdi Mohammadzadeh Karizaki *, Mahmoud Hassani, Dragan Djordjevic Pages 127-132
    In this paper, we find explicit solution to the operator equation TXS∗−SX∗T∗=A in the general setting of the adjointable operators between Hilbert C∗ modules, when T,S have closed ranges and S is a self adjoint operator.
    Keywords: Operator equation, Moore, Penrose inverse, Hilbert C?, module
  • Sanjib Kumar Datta *, Tanmay Biswas, Debasmita Dutta Pages 133-141
    Let f, g and h be all entire functions of several complex variables. In this paper we would like to establish some inequalities on the basis of relative order and relative lower order of f with respect to g when the relative orders and relative lower orders of both f and g with respect to h are given.
    Keywords: Entire function, several complex variables, relative order, relative lower order
  • Eqbal Keyhani, Mahmoud Hassani *, Maryam Amyari Pages 143-151
    Martindale proved that under some conditions every multiplicative isomorphism between two rings is additive. In this paper, we extend this theorem to a larger class of mappings and conclude that every multiplicative (α,β)−derivation is additive.
    Keywords: beta), $multiplicative mapping, beta), $multiplicative isomorphism, $(alpha, beta), $additive mapping, multiplicative $(alpha, beta), $derivations