Generalized Hyers-Ulam stability of general cubic functional equation in random normed spaces-Reference-Cited by-同舟云学术

Generalized Hyers-Ulam stability of general cubic functional equation in random normed spaces

Published:2016 Issue:1 Volume:30 Page:89-98
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Kim Seong¹,Rassias John²,Hussain Nawab³,Cho Yeol⁴

Affiliation:

1. Dongeui University, Department of Mathematics, Busan, Korea

2. National and Capodistrian University of Athens, Pedagogical Department E.E., Section of Mathematics and Informatics, Aghia Paraskevi, Athens, Greece

3. King Abdulaziz University, Department of Mathematics, Jeddah, Saudi Arabia

4. Gyeongsang National University, Department of Mathematics Education and the RINS, Jinju, Korea + King Abdulaziz University, Department of Mathematics, Jeddah, Saudi Arabia

Abstract

In this paper, we investigate the generalized Hyers-Ulam stability of a general cubic functional equation: f(x+ky)-kf(x+y)+kf(x-y) -f(x-ky)=2k(k2-1)f(y) for fixed k ? Z+ with k ? 2 in random normed spaces.

Publisher

National Library of Serbia

Subject

General Mathematics

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