Random Stability of an Additive-Quadratic-Quartic Functional Equation

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Abstract

Using the fixed point method, we prove the generalized Hyers-Ulam stability of thefollowing additive-quadratic-quarticfunctional equation f(x+2y)+f(x-2y) = 2f(x+y)+2f(-x-y) +2 f(x-y) + 2f(y-x)-4f(-x)-2f(x)+f(2y)+f(-2y)- 4f(y) - 4f(-y) in complete random normed spaces.
Original languageEnglish
Pages (from-to)1-18
Number of pages0
JournalJournal of Inequalities and Applications
Volume2010
Publication statusPublished - 2010

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