The purpose of this paper is to study common fixed point theorems for six (four single-valued and two set-valued) mappings in fuzzy metric space using general contractive condition of integral type, without assuming compatibility and continuity of any mapping on non complete metric spaces. To prove the theorems, we use a non compatible condition, that is, weak commutativity of type (Kh)in fuzzy...

The main objective of this paper is to deal with some properties of interest in two types of fuzzy ordered proximal contractions of cyclic self-mappings T integrated in a pair (g, T) of mappings. In particular, g is a non-contractive fuzzy self-mapping, in the framework of non-Archimedean ordered fuzzy complete metric spaces and T is a p-cyclic proximal contraction. Two types of such contractio...

Abstract In this paper, we investigate the existence and uniqueness of a common fixed point pair self-mappings satisfying new contractive type conditions on modular metric space endowed with reflexive digraph. An application is given to show use our main result.

We obtain existence and uniqueness fixed point theorems as well approximation results for some classes of mappings defined by symmetric contractive type conditions in a convex metric space the sense Takahashi. By using new approach, i.e., technique enrichment mappings, we general which extend known Banach contraction mapping principle from spaces other corresponding enriched on spaces. To indic...

motivated by samet et al. [nonlinear anal., 75(4) (2012), 2154-2165], we introduce the notions of $alpha$-$phi$-fuzzy contractive mapping and $beta$-$psi$-fuzzy contractive mapping and prove two theorems which ensure the existence and uniqueness of a fixed point for these two types of mappings. the presented theorems extend, generalize and improve the corresponding results given in the literature.