A fixed point approach to the fuzzy stability of an AQCQ-functional equation-Reference-Cited by-同舟云学术

A fixed point approach to the fuzzy stability of an AQCQ-functional equation

Published:2016 Issue:7 Volume:30 Page:1833-1851
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Park Choonkil¹,Shin Dong²,Saadati Reza³,Lee Jung⁴

Affiliation:

1. Hanyang University, Research Institute of Natural Sciences, Seoul, Republic of Korea

2. University of Seoul, Department of Mathematics, Seoul, Republic of Korea

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

4. Daejin University, Department of Mathematics, Kyeonggi, Republic of Korea

Abstract

In [32, 33], the fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces have been investigated. Using the fixed point method, we prove the Hyers-Ulam stability of the following additive-quadraticcubic-quartic functional equation f(x+2y)+f(x-2y)=4f(x+y)+4f(x-y)-6f(x)+f(2y)+f(-2y)-4f(y)-4f(-y) (1) in fuzzy Banach spaces.

Publisher

National Library of Serbia

Subject

General Mathematics

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