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: 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
(College of Liberal Arts, Dankook University)
Koh, Heejeong.
(2021). A NEW GENERALIZED CUBIC FUNCTIONAL EQUATION AND ITS STABILITY PROBLEMS. 한국수학교육학회지시리즈B:순수및응용수학, 28(1), 15-26, https://doi.org/https://doi.org/10.7468/jksmeb.2021.28.1.15
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
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cubic functional equation,
modular space,
convex modular,
<tex> ${\Delta}_a$</tex>-condition,
Hyers-Ulam-Rassias stability,
fixed point theorem