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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

A NEW GENERALIZED CUBIC FUNCTIONAL EQUATION AND ITS STABILITY PROBLEMS

A new generalized cubic functional equation and its stability problems

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2021, v.28 no.1, pp.15-26
https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.15
Koh, Heejeong (College of Liberal Arts, Dankook University)

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

한국수학교육학회지시리즈B:순수및응용수학