A Fixed Point Approach to Stabilities of Functional Equations in Intuitionistic Fuzzy Banach Spaces

P. Saha, T. K. Samanta, Pratap Mondal, B.S. Choudhuryr

Abstract

In this paper we consider some functional equations for studyingtheir Hyers-Ulam-Rassias stability. This stability has been studied fora variety of mathematical structures. Our framework of discussion is in-tuitionistic fuzzy normed linear space. We consider both Archimedeanand non-Archimedean varieties of such spaces. The approach to thepresent problem is a fixed point approach, that is, we obtain our resultsby applications of an extension of the Banach contraction mapping principle generalized metric spaces where innite distances are allowable.