Some fixed point theorems in fuzzy metric space

Abstract

The aim of the present paper is to extend the study of noncompatible maps in fuzzy metric space by using the notion of R-weak commutativity of type (Ag) in fuzzy metric space. Simultaneously, we provide an answer in fuzzy metric space, perhaps maiden, to the problem of Rhoades (page 243, [18]). We also define an analogue to the recently introduced concept of Property (E.A) by Aamri and Moutawakil [1] and then compare the results obtained by using the Property (E.A) to those obtained by using the notion of noncompatibility.