A fixed point approach to almost quartic mappings in quasi fuzzy normed spaces

doi:10.1016/j.fss.2009.01.011

Fuzzy Sets and Systems

Volume 160, Issue 11, 1 June 2009, Pages 1653-1662

https://doi.org/10.1016/j.fss.2009.01.011 Get rights and content

Abstract

We will define a notion for a quasi fuzzy p-normed space, then we use the fixed point alternative theorem to establish Hyers–Ulam–Rassias stability of the quartic functional equation where functions map a linear space into a complete quasi fuzzy p-normed space. Later, we will show that there exists a close relationship between the fuzzy continuity behavior of a fuzzy almost quartic function, control function and the unique quartic mapping which approximates the almost quartic map. Finally, some applications of our results in the stability of quartic mappings from a linear space into a quasi p-norm space will be exhibited.

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A fixed point approach to almost quartic mappings in quasi fuzzy normed spaces

Abstract

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Fuzzy Sets and Systems

Fuzzy Sets and Systems

J. Math. Anal. Appl.

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Inform. Sci.

Locally bounded linear topological spaces

Proc. Imp. Acad. Tokyo