Abstract

In this work, we establish some fixed point theorems for weakly C-contractive mappings in partial metric spaces. Presented theorems extend and generalize some existence results in the literature. Also, an example is given to support our results.

Highlights

  • Introduction and preliminariesFixed point theory has fascinated many mathematicians since with the celebrated Banach’s fixed point theorem

  • After the appearance of partial metric spaces, some authors started to generalize Banach contraction mapping theorem to partial metric spaces and focus on fixed point theory on partial metric spaces

  • The aim of this paper is to research fixed point and common fixed point theorems for weakly C-contractive type mappings in partial metric spaces

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Summary

Introduction

Introduction and preliminariesFixed point theory has fascinated many mathematicians since with the celebrated Banach’s fixed point theorem. [ ] Let (X, d) be a metric space and T : X → X be a mapping. The aim of this paper is to research fixed point and common fixed point theorems for weakly C-contractive type mappings in partial metric spaces.

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