[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.7858/eamj.2016.031

FUZZY STABILITY OF QUADRATIC-CUBIC FUNCTIONAL EQUATIONS

Kim, Chang Il (Department of Mathematics Education, Dankook University)
Yun, Yong Sik (Department of Mathematics and research institute for basic sciences, Jeju National University)

Publication Information

East Asian mathematical journal / v.32, no.3, 2016 , pp. 413-423 More about this Journal

Abstract

In this paper, we consider the functional equation f(x + 2y) - 3f(x + y) + 3f(x) - f(x - y) - 3f(y) + 3f(-y) = 0 and prove the generalized Hyers-Ulam stability for it when the target space is a fuzzy Banach space. The usual method to obtain the stability for mixed type functional equation is to split the cases according to whether the involving mappings are odd or even. In this paper, we show that the stability of a quadratic-cubic mapping can be obtained without distinguishing the two cases.

Keywords

fuzzy Banach space; fixed point; generalized Hyers-Ulam stability; quadratic mapping; cubic mapping;

Citations & Related Records

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