Nonlinear Random Stability via Fixed-Point Method

Yeol Je Cho, Shin Min Kang and Reza Saadati

Journal of Applied Mathematics, 2012, vol. 2012, 1-45

Abstract:

We prove the generalized Hyers-Ulam stability of the following additive-quadratic-cubic-quartic functional equation f ( x + 2 y ) + f ( x − 2 y ) = 4 f ( x + y ) + 4 f ( x − y ) − 6 f ( x ) + f ( 2 y ) + f ( − 2 y ) − 4 f ( y ) − 4 f ( − y ) in various complete random normed spaces.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:902931

DOI: 10.1155/2012/902931

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