A Hyers-Ulam-Rassias stability result for functional equations in Intuitionistic Fuzzy Banach spaces

Document Type : Research Paper

Authors

1 Department of Mathematics, Indian Institute Of Engineering Science and Technology, Shibpur, Howrah - 711103, West Bengal, India

2 Department of Mathematics, Uluberia College, Uluberia, Howrah - 711315, West Bengal, India

Abstract

Hyers-Ulam-Rassias stability have been studied in the contexts of several areas of mathematics. The concept of fuzziness and its extensions have been introduced to almost all branches of mathematics in recent times.
Here we define the cubic functional equation in 2-variables and establish that Hyers-Ulam-Rassias stability holds for such equations in intuitionistic fuzzy Banach spaces.

Keywords


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