On Some Fixed Point Results in E – Algebra Fuzzy Metric Spaces

Abstract

            In the existing literature, Banach contraction theorem as well as Meir-Keeler fixed point theorem were extended to E-Algebra fuzzy metric spaces. However, the existing extensions require strong additional assumptions. The purpose of this paper is to determine a class of E-Algebra fuzzy metric spaces in which both theorems remain true without the need of any additional condition. We demonstrate  the wide validity of the new class.