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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

A new generalized cubic functional equation and its stability problems

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2021, v.28 no.1, pp.15-26
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.15
Koh, Heejeong

Abstract

The purpose of this paper is to introduce a new type of a cubic functional equation and then investigate its stability problems in a convex modular space with a generalized ∆a-condition.

keywords
cubic functional equation, modular space, convex modular, <tex> ${\Delta}_a$</tex>-condition, Hyers-Ulam-Rassias stability, fixed point theorem

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics