Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2014; 51(5): 1511-1525

Printed September 30, 2014

https://doi.org/10.4134/BKMS.2014.51.5.1511

Copyright © The Korean Mathematical Society.

On the stability of radical functional equations in quasi-$\beta$-normed spaces

Yeol Je Cho, Madjid Eshaghi Gordji, Seong Sik Kim, and Youngoh Yang

King Abdulaziz University, Center of Excellence in Nonlinear Analysis and Applications, Dongeui University, Jeju National University

Abstract

In this paper, we prove the generalized Hyers-Ulam stability results controlled by considering approximately mappings satisfying conditions much weaker than Hyers and Rassias conditions for radical quadratic and radical quartic functional equations in quasi-$\beta$-normed spaces.

Keywords: radical functional equations, generalized Hyers-Ulam stability, quasi-$\beta$-normed spaces

MSC numbers: 39B72, 39B82, 39B52, 47H09