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On stability of a cubic functional equation in intuitionistic fuzzy normed spaces
Journal article   Peer reviewed

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

M. Mursaleen and S. A. Mohiuddine
Chaos, solitons and fractals, Vol.42(5), pp.2997-3005
15/12/2009
DOI: https://doi.org/10.1016/j.chaos.2009.04.041

Abstract

Mathematics Mathematics, Interdisciplinary Applications Physical Sciences Physics Physics, Mathematical Physics, Multidisciplinary Science & Technology
In this paper, we determine some stability results concerning the cubic functional equation f(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. (C) 2009 Elsevier Ltd. All rights reserved.

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