A FIXED POINT APPROACH TO THE FUZZY STABILITY OF A QUADRATIC-QUARTIC FUNCTIONAL EQUATION | Park | Dalat University Journal of Science

A FIXED POINT APPROACH TO THE FUZZY STABILITY OF A QUADRATIC-QUARTIC FUNCTIONAL EQUATION

Choonkil Park, Jung Rye Lee, Dong Yun Shin

Abstract


Using fixed point method, we prove the Hyers-Ulam stability of the following quadratic-quartic functional equation f(x + 2y) + f(x - 2y) = 4f(x + y) + 4f(x - y) - 6f(x) + 2f(2y) - 8f(y) in fuzzy Banach spaces


Keywords


Fuzzy Banach space; Fixed point; Hyers-Ulam stability; Quadratic-quartic functional equation



DOI: http://dx.doi.org/10.37569/DalatUniversity.2.3.207(2012)

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Copyright (c) 2012 Choonkil Park, Jung Rye Lee, Dong Yun Shin

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