Fuzzy approximately cubic mappings

Authors:
Alireza Kamel Mirmostafaee;Mohammad Sal Moslehian
Affiliations:
Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad 91775, Iran and Centre of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mash ...;Department of Pure Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159, Mashhad 91775, Iran and Centre of Excellence in Analysis on Algebraic Structures (CEAAS), Ferdowsi University of Mash ...
Venue:
Information Sciences: an International Journal
Year:
2008

Citing 8
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Abstract

We establish some stability results concerning the cubic functional equationf(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x)in fuzzy normed spaces. We discuss the fuzzy continuity of the cubic mappings and show that the existence of a solution for any approximately cubic mapping guarantees the completeness of the fuzzy normed space.