A fuzzy metric is a function of the form X×X 3 (p, q)→F Fpq ∈ ∆, where ∆ is the set of all distance distribution functions, and in many cases F generates a metrizable uniformity. Starting from this fundamental property, we present several metric-like functions determined by fuzzy metrics and we emphasize their role in getting and proving fixed point theorems for different types of contractions....

In this manuscript, we establish some fixed point results for fuzzy mappings via ? ? , F -contractions. For validation of the proved results, nontrivial examples are presented. Few interesting consequences also stated which a...

Abstract The objective of the present research is to establish and prove some new common fuzzy fixed-point theorems for set-valued mappings involving Θ-contractions in a complete metric space. For this purpose, novel integral-type contraction condition applied obtain these results. In way, several useful classical results have been generalized. Moreover, concrete example created furnish our An ...

Recently, Choudhury and Metiya [Fixed points of weak contractions in cone metric spaces, Nonlinear Analysis 72 (2010) 1589-1593] proved some fixed point theorems for weak contractions in cone metric spaces. Weak contractions are generalizations of the Banach's contraction mapping, which have been studied by several authors. In this paper, we introduce the notion of $f$-weak contractions and als...