Fixed Points of Multivalued Contractive Mappings in Partial Metric Spaces

Abstract

The aim of this paper is to present fixed point results of multivalued mappings in the framework of partial metric spaces. Some examples are presented to support the results proved herein. Our results generalize and extend various results in the existing literature. As an application of our main result, the existence and uniqueness of bounded solution of functional equations arising in dynamic programming are established.

A general fixed point theorem for a pair of multi-valued mappings in partial metric spaces

“…Other results for fixed points of multi-valued mappings in complete partial metric spaces are recently obtained in [1], [5], [6], [7], [8], [16] and in other paper.…”

Existence of Fixed Points of Four Maps for a New Generalized F-Contraction and an Application

“…Remark 23. The reader interested in fixed points of multivalued contraction mappings in a partial metric space and their applications may be referred to Khan et al [23].…”

Common Fixed Point Theorems in <i>b</i>-Metric Spaces

“…In 1922, Banach [1] proved the Banach contraction principle. Since then, several works have been done about fixed point theory regarding different classes of contractive conditions in some spaces such as: quasi-metric spaces [2,3], cone metric spaces [4,5], partially order metric spaces [6,7,8], G-metric spaces [9].…”