On the Stability of the Mixed Type Functional Equation in Random Normed Spaces VIA Fixed Point Method

Sun Sook Jin; Yang Hi Lee

한국수학교육학회 이론수학과 교직수학 On the Stability of the Mixed Type Functional Equation in Random Normed Spaces VIA Fixed Point Method

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( Sun Sook Jin ) , ( Yang Hi Lee )

한국수학교육학회 2012.02

이론수학과 교직수학 vol. 19 iss. 1 59-71(13pages)

UCI I410-ECN-0102-2012-370-003017434

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Abstract

In this paper, we prove the stability in random normed spaces via fixed point method for the functional equation f(x + y + z) - f(x + y) - f(y + z) - f(x + z) + f(x) + f(y) + f(z) = 0.by using a fixed point theorem in the sense of L. Cadariu and V. Radu

Keywords

stability

additive mapping

mixed type functional equation

random normed space

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