Fuzzy Stability of an Additive-Quartic Functional Equation: A Fixed Point Approach

Choonkil Park () and Themistocles M. Rassias ()
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Choonkil Park: Hanyang University
Themistocles M. Rassias: National Technical University of Athens

Chapter Chapter 20 in Functional Equations in Mathematical Analysis, 2011, pp 247-260 from Springer

Abstract: Abstract Mirmostafaee, Mirzavaziri and Moslehian have investigated the fuzzy stability problems for the Cauchy additive functional equation and the Jensen additive functional equation in fuzzy Banach spaces. Using the fixed point method, we prove the generalized Hyers–Ulam stability of the following additive-quartic functional equation $$\begin{array}{rcl} f(2x + y) + f(2x - y) =& & 2f(x + y) + 2f(-x - y) + 2f(x - y) + 2f(y - x) \\ & & +14f(x) + 10f(-x) - 3f(y) - 3f(-y) \\ \end{array}$$ in fuzzy Banach spaces.

Keywords: Fuzzy Banach space; Fixed point; Generalized Hyers–Ulam stability; Quartic mapping; Additive mapping (search for similar items in EconPapers)
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:spr:spochp:978-1-4614-0055-4_20

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DOI: 10.1007/978-1-4614-0055-4_20

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