Fixed points of some new contractions on intuitionistic fuzzy metric spaces

Abstract

We introduce some new contractions on intuitionistic fuzzy metric spaces, and give fixed point results for these classes of contractions. A stability result is established.

Fixed points of fuzzy neutrosophic soft mapping with decision-making

“…Wardowski [29] familiarized a concept of mapping on soft sets and determined its fixed point. A vast amount of mathematical activity has been carried out to obtain fixed points of various mappings, as studied by many authors [8,9,26,[28][29][30][31]. In the present study, we obtain some results on fixed points of fns-mappings.…”

A New Approach to Fixed Point Results in Triangular Intuitionistic Fuzzy Metric Spaces

“…Corollary 18 (Theorem 2.1 in [19]). Let ( , , , * , ⬦) be a complete triangular intuitionistic fuzzy metric space and let : → be a continuous mapping satisfying the contractive condition…”

“…By taking P( , , ) = 1/ ( , , ) − 1 and ℓ( ) = 1/ in Theorem 16, we deduce the following result. Corollary 20 (Theorem 2.2 in[19]). Let ( , , , * , ⬦) be a complete triangular intuitionistic fuzzy metric space and let : → be a continuous mapping satisfying the contractive condition…”

On the intuitionistic fuzzy metric spaces and the intuitionistic fuzzy normed spaces

“…He showed that for each intuitionistic fuzzy metric space (X, M, N, * , ♦), the topology generated by the intuitionistic fuzzy metric (M, N ) coincides with the topology generated by the fuzzy metric M . For more details on intuitionistic fuzzy metric space and related results we refer the reader to [2,7,9,13,19,[21][22][23]27]. In 2006, Saadati and Park introduced the notion of intuitionistic fuzzy normed space [25].…”

“…Let X be vector space, * be a continuous t-norm and M be a fuzzy set on X ×(0, 1) satisfying the following conditions: for all x, y ∈ X, s, t > 0, Proof. It is sufficient to check the conditions (8)- (13). From the relation…”