Abstract We improve the rational contractive condition and prove common fixed point in dislocated metric spaces. In addition, new generalized contraction has existence of a solution for system integral equations.

Abstract In this work, a new common fixed point result by generalized contractive functions fulfilling the type of admissibility condition in Hausdorff Branciari metric space with support C -functions, was obtained.

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 ...

It is well known that the classical contraction mapping principle of Banach is a fundamental result in fixed point theory. Several authors have obtained various extensions and generalizations of Banach’s theorems by considering contractive mappings on different metric spaces. Huang and Zhang [1] have replaced real numbers by ordering Banach space and have defined a cone metric space. They have ...

We present some fixed point results for a single mapping and a pair of compatible mappings via auxiliary functions which satisfy a generalized weakly contractive condition in partially ordered complete $G$-metric spaces. Some examples are furnished to illustrate the useability of our main results. At the end, an application is presented to the study of exi...

In this manuscript, we prove some coupled fixed point theorems for two pairs of self mappings satisfying contractive conditions of integral type in generalized metric spaces. We furnish suitable illustrative examples. In this manuscript, we prove some coupled fixed point theorems for two pairs of self mappings satisfying contractive conditions of integral type in generalized metric spaces. We f...

Berinde and Borcut [1] introduced the concept of triple fixed point and proof some related fixed point theorem with some applications. The aim of this paper is to extend the result of Berinde and Borcut [1]. Indeed, we introduced the definition of generalized g−Meir-Keeler type contractions and prove some tripled fixed point theorems under a generalized g−Meir-Keeler type contractive condition....

*Correspondence: [email protected] 1Department of Mathematics, Lahore University of Management Sciences, Lahore, 54792, Pakistan 2Department of Mathematics Education and the RINS, Gyeongsang National University, Jinju, 660-701, Korea Abstract In this paper, using the setting of two ordered generalized metric spaces, a unique common fixed point of four mappings satisfying a generalized contracti...