ON THE STABILITY OF THE MIXED TYPE FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2012, v.19 no.1, pp.59-71

https://doi.org/10.7468/jksmeb.2012.19.1.59

Jin, Sun-Sook (Department of Mathematics Education, Gongju National University of Education)
Lee, Yang-Hi (Department of Mathematics Education, Gongju National University of Education)

Jin, Sun-Sook, & Lee, Yang-Hi. (2012). ON THE STABILITY OF THE MIXED TYPE FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD. 한국수학교육학회지시리즈B:순수및응용수학, 19(1), 59-71, https://doi.org/10.7468/jksmeb.2012.19.1.59

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Abstract

In this paper, we prove the stability in random normed spaces via fixed point method for the functional equation <TEX>$$f(x+y+z)-f(x+y)-f(y+z)-f(x+z)+f(x)+f(y)+f(z)=0$$</TEX>. by using a fixed point theorem in the sense of L. C<TEX>$\breve{a}$</TEX>dariu and V. Radu.

keywords: stability, additive mapping, mixed type functional equation, random normed space

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Vol.19 No.1

ON THE STABILITY OF THE MIXED TYPE FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD

ON THE STABILITY OF THE MIXED TYPE FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학