Solution and Hyers-Ulam-Rassias Stability of Generalized Mixed Type Additive-Quadratic Functional Equations in Fuzzy Banach Spaces-Reference-Cited by-同舟云学术

Solution and Hyers-Ulam-Rassias Stability of Generalized Mixed Type Additive-Quadratic Functional Equations in Fuzzy Banach Spaces

Published:2012 Issue: Volume:2012 Page:1-22
ISSN:1085-3375
Container-title:Abstract and Applied Analysis
language:en
Short-container-title:Abstract and Applied Analysis

Author:

Eshaghi Gordji M.¹,Azadi Kenary H.²,Rezaei H.²,Lee Y. W.³,Kim G. H.⁴

Affiliation:

1. Department of Mathematics, Semnan University, Semnan 35131-19111, Iran

2. Department of Mathematics, Yasouj University, Yasouj 75918-74831, Iran

3. Department of Computer Hacking and Information Security, Daejeon University, Youngwoondong Donggu, Daejeon 300-716, Republic of Korea

4. Department of Mathematics, Kangnam University, Yongin, Gyeonggi 446-702, Republic of Korea

Abstract

By using fixed point methods and direct method, we establish the generalized Hyers-Ulam stability of the following additive-quadratic functional equationf(x+ky)+f(x−ky)=f(x+y)+f(x−y)+(2(k+1)/k)f(ky)−2(k+1)f(y)for fixed integerskwithk≠0,±1in fuzzy Banach spaces.

Funder

National Research Foundation of Korea

Publisher

Hindawi Limited

Subject

Applied Mathematics,Analysis

Link

http://downloads.hindawi.com/journals/aaa/2012/953938.pdf

Reference50 articles.

1. On the Stability of the Linear Functional Equation

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

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