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ISSN : 1226-0657

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Vol.23 No.3

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Fixed points and stability of an AQCQ-functional equation in $G$-normed spaces

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
2016, v.23 no.3, pp.265-285
https://doi.org/10.7468/jksmeb.2016.23.3.265
LEE, JUNG RYE
GORDJI, MADJID ESHAGHI
SHIN, DONG-YUN
LEE,, J. R. , GORDJI,, M. E. , & SHIN,, D. (2016). Fixed points and stability of an AQCQ-functional equation in $G$-normed spaces. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 23(3), 265-285, https://doi.org/10.7468/jksmeb.2016.23.3.265

Abstract

In this paper, we introduce functional equations in G-normed spaces and we prove the Hyers-Ulam stability of an additive-quadratic-cubic-quartic functional equation in complete G-normed spaces by using the fixed point method.

keywords
Hyers-Ulam stability, G-normed space, AQCQ-functional equation, fixed point

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

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