Article ID Journal Published Year Pages File Type
1888933 Chaos, Solitons & Fractals 2009 9 Pages PDF
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)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.

Related Topics
Physical Sciences and Engineering Physics and Astronomy Statistical and Nonlinear Physics
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