Stability Of A Two -Variable Pexiderized Additive Functional Equation In Intuitionistic Fuzzy Banach Spaces: A Fixed Point Approach

P. Saha；T. K. Samanta；Pratap Mondal；B. S. Choudhury

Hyers-Ulam stability ； Pexider type functional equation ； intuitionistic fuzzy normed spaces ； alternative fixed point theorem

Tamsui Oxford Journal of Information and Mathematical Sciences

33卷1期（2019 / 07 / 01）

30 - 46

英文

In this paper we show that Hyers-Ulam-Rassias stability holds for Pexiderized additive functional equations in the framework of intuitionistic fuzzy Banach spaces. We consider a two-variable pexiderized additive functional equation. The approach to the present stability problem is through fixed point method for which we apply the Banach contraction mapping principle in generalized metric spaces which is a structure where infinite distances are admissible.