Stability of Jensen functional equation in intuitionistic fuzzy normed space

S.A. Mohiuddine

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 2989-2996

Abstract: In this paper, we determine some stability results concerning the Jensen functional equation 2f((x+y)/2)=f(x)+f(y) in intuitionistic fuzzy normed spaces (IFNS). We define the intuitionistic fuzzy continuity of the Jensen mappings and prove that the existence of a solution for any approximately Jensen 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:2989-2996

DOI: 10.1016/j.chaos.2009.04.040

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