On the Stability of an -Variables Functional Equation in Random Normed Spaces via Fixed Point Method-Reference-Cited by-同舟云学术

On the Stability of an -Variables Functional Equation in Random Normed Spaces via Fixed Point Method

Published:2012 Issue: Volume:2012 Page:1-13
ISSN:1026-0226
Container-title:Discrete Dynamics in Nature and Society
language:en
Short-container-title:Discrete Dynamics in Nature and Society

Author:

Ebadian A.¹,Gordji M. Eshaghi²,Khodaei H.²,Saadati R.³,Sadeghi Gh.⁴

Affiliation:

1. Department of Mathematics, Payame Noor University, Tehran, Iran

2. Department of Mathematics, Semnan University, P.O. Box 35195-363, Semnan, Iran

3. Department of Mathematics, Iran University of Science and Technology, Behshahr, Iran

4. Department of Mathematics and Computer Sciences, Tarbiat Moallem University Sabzevar, Sabzevar, P.O. Box 397, Iran

Abstract

At first we find the solution of the functional equation where is an integer number. Then, we obtain the generalized Hyers-Ulam-Rassias stability in random normed spaces via the fixed point method for the above functional equation.

Publisher

Hindawi Limited

Subject

Modelling and Simulation

Link

http://downloads.hindawi.com/journals/ddns/2012/346561.pdf

Reference45 articles.

1. On the Stability of the Linear Functional Equation

2. On the Stability of the linear Transformation in Banach Spaces.

3. On the stability of the linear mapping in Banach spaces

4. A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings

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