Let X be a real Banach space. A multivalued operator T from K into 2 is said to be pseudo-contractive if for every x, y in K, u ∈ T (x), v ∈ T (y) and all r > 0, ‖x−y‖ ≤ ‖(1+r)(x−y)−r(u−v)‖. Denote by G(z, w) the set {u ∈ K : ‖u−w‖ ≤ ‖u−z‖}. Suppose every bounded closed and convex subset of X has the fixed point property with respect to nonexpansive selfmappings. Now if T is a Lipschitzian and ...

In this paper, we introduce the notion of strictly (α,ψ,ξ)-G-contractive mappings in b-metric spaces endowed with a graph G. We establish a sufficient condition for existence and uniqueness of points of coincidence and common fixed points for such mappings. Our results extend and unify many existing results in the literature. Finally, we construct some examples to analyze and support our results.

In this article, we introduce the concept of intuitionistic fuzzy double controlled metric spaces that generalizes b-metric spaces. For purpose, two noncomparable functions are used in triangle inequalities. We generalize concepts Banach contraction principle and contractive mappings by giving authentic proof these sense To validate superiority results, examples imparted. A possible application...

The existence of fixed point in partially ordered sets has been studied and investigated recently in 1–13 and references therein. Since the various contractive conditions are important in metric fixed point theory, there is a trend to weaken the requirement on contractions. Nieto and Rodrı́guez-López in 8, 10 used Tarski’s theorem to show the existence of solutions for fuzzy equations and fuzzy ...

Introduction/purpose: The aim of this paper is to introduce the notion an interpolative generalised Meir-Keeler contractive condition for a pair self maps in fuzzy metric space, which enlarges, unifies and generalizes contraction only one map. Using this, we establish unique common fixed point theorem two through weak compatibility. article includes example, shows validity our results. Methods:...