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Vol.19 No.1
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ON THE STABILITY OF THE MIXED TYPE FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD

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
2012, v.19 no.1, pp.59-71
https://doi.org/10.7468/jksmeb.2012.19.1.59
Jin, Sun-Sook
Lee, Yang-Hi
Jin,, S. , & Lee,, Y. (2012). ON THE STABILITY OF THE MIXED TYPE FUNCTIONAL EQUATION IN RANDOM NORMED SPACES VIA FIXED POINT METHOD. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 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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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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