Optimal coincidence points of proximal quasi-contraction mappings in non-Archimedean fuzzy metric spaces

Abstract

The aim of this paper is to present fuzzy optimal coincidence point results of fuzzy proximal quasi contraction and generalized fuzzy proximal quasi contraction of type − 1 in the framework of complete nonArchimedean fuzzy metric space. Some examples are presented to support the results which are obtained here. These results also hold in fuzzy metric spaces when some mild assumption is added to the set in the domain of mappings which are involved here. Our results unify, extend and generalize various existing results in literature.

Optimal Approximate Solution of Coincidence Point Equations in Fuzzy Metric Spaces

“…For some interesting fixed point results in the setup of fuzzy metric space, we refer the reader to [16][17][18]. Vetro and Salimi [19] studied best proximity point theorems in the framework of non-Archimedean fuzzy metric spaces-see also [20,21].…”

Determining Fuzzy Distance between Sets by Application of Fixed Point Technique Using Weak Contractions and Fuzzy Geometric Notions

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