On stability of a cubic functional equation in intuitionistic fuzzy normed spaces

M. Mursaleen and S.A. Mohiuddine

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 2997-3005

Abstract: In this paper, we determine some stability results concerning the cubic functional equationf(2x+y)+f(2x-y)=2f(x+y)+2f(x-y)+12f(x)in intuitionistic fuzzy normed spaces (IFNS). We define the intuitionistic fuzzy continuity of the cubic mappings and prove that the existence of a solution for any approximately cubic mapping implies the completeness of IFNS.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:5:p:2997-3005

DOI: 10.1016/j.chaos.2009.04.041

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