Stability of Various Functional Equations in Non-Archimedean Intuitionistic Fuzzy Normed Spaces

Syed Abdul Mohiuddine
Abdullah Alotaibi
Mustafa Obaid

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Publication date

January 2012

DOI

10.1155/2012/234727

Publisher

Hindawi Limited

Journal

Discrete Dynamics in Nature and Society

Abstract

We define and study the concept of non-Archimedean intuitionistic fuzzy normed space by using the idea of t-norm and t-conorm. Furthermore, by using the non-Archimedean intuitionistic fuzzy normed space, we investigate the stability of various functional equations. That is, we determine some stability results concerning the Cauchy, Jensen and its Pexiderized functional equations in the framework of non-Archimedean IFN spaces