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ISSN : 1226-0657

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Vol.17 No.4

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HYERS-ULAM STABILITY OF CUBIC-QUARTIC FUNCTIONAL EQUATIONS ON RANDOM 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
2010, v.17 no.4, pp.373-388
Jang, Sun-Young
Kang, Kyung-Mook
Jang,, S. , & Kang,, K. (2010). HYERS-ULAM STABILITY OF CUBIC-QUARTIC FUNCTIONAL EQUATIONS ON RANDOM NORMED SPACES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 17(4), 373-388.

Abstract

We introduce mixed cubic-quartic functional equations. And using the fixed point method, we prove the generalized Hyers-Ulam stability of cubic-quartic functional equations on random normed spaces.

keywords
cubic functional equation, quartic functional equations, random normed space, Hyers-Ulam stability.

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

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