In this paper, we consider a new class of pairs of generalized contractive type mappings defined in ordered partial metric spaces. Some coincidence and common fixed point results for these mapping are presented. An example is given to illustrate our obtained results.

A mapping T from a topological space X to a topological space Y is said to be compact if T (X) is contained in a compact subset of Y. The aim of the paper is to prove the existence of fixed points of a nonexpansive compact self-mapping defined on a closed subset having a contractive jointly continuous family when the underlying space is a metric space. The proved result generalizes and extends ...

In this paper, we introduce the notion of fuzzy R−ψ−contractive mappings and prove some relevant results on existence uniqueness fixed points for type in setting non-Archimedean metric spaces. Several illustrative examples are also given to support our newly proven results. Furthermore, apply main a solution Caputo fractional differential equations.

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 purpose of this paper is to present a common fixed point theorem for pair R-weakly commuting mappings defined on b-fuzzy metric spaces satisfying nonlinear contractive conditions Boyd-Wong type, obtained in D. W. Boyd, J. S. Wong: On contractions, Proc. Amer. Math. Soc. 20 (1969), 458-464.

The Banach contraction principle is one of the pivotal results in the metric fixed-point theory. It is a popular tool for the solution of existence problems in various fields of mathematics. There are several generalizations of the Banach contraction principle in the related literature on the metric fixed-point theory. Ran and Reurings [15] extended the Banach contraction principle in partially...

Abstract. In this paper, we introduce the concept of partial cone b-metric spaces as a generalization of partial metric, cone metric and b-metric spaces and establish some topological properties of partial cone b-metric spaces. Moreover, we also prove some common fixed point theorems for cyclic contractive mappings in such spaces. Our results generalize and extend the main results of Huang and ...

The aim of this paper is to establish some new common fixed point theorems for generalized contractive maps in fuzzy metric space by using property (E.A.), common property (E.A.), JCLRST property and CLRS property. Our results improve and extend the results of Chauhan et al. [1] and Sedghi et al. [2] besides several known results. We also furnish an illustrative example in support of our results.