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

한국수학교육학회지시리즈B:순수및응용수학 / 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 (DEPARTMENT OF MATHEMATICS, DAEJIN UNIVERSITY)
GORDJI, MADJID ESHAGHI (DEPARTMENT OF MATHEMATICS, SEMNAN UNIVERSITY)
SHIN, DONG-YUN (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF SEOUL)

LEE, JUNG RYE, GORDJI, MADJID ESHAGHI, & SHIN, DONG-YUN. (2016). FIXED POINTS AND STABILITY OF AN AQCQ-FUNCTIONAL EQUATION IN G-NORMED SPACES. 한국수학교육학회지시리즈B:순수및응용수학, 23(3), 265-285, https://doi.org/10.7468/jksmeb.2016.23.3.265

복사

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

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논문 상세

Vol.23 No.3

FIXED POINTS AND STABILITY OF AN AQCQ-FUNCTIONAL EQUATION IN G-NORMED SPACES

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

Abstract

한국수학교육학회지시리즈B:순수및응용수학