Abstract

In this article, we establish some common fixed and common coincidence point theorems for expansive type mappings in the setting of cone metric spaces. Our results extend some known results in metric spaces to cone metric spaces. Also, we introduce some examples the support the validity of our results.Mathematics Subject Classification: 54H25; 47H10; 54E50.

Highlights

  • Huang and Zhang [1] introduced the notion of cone metric spaces as a generalization of metric spaces

  • They replacing the set of real numbers by an ordered Banach space

  • Huang and Zhang [1] presented the notion of convergence of sequences in cone metric spaces and proved some fixed point theorems

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Summary

Introduction

Huang and Zhang [1] introduced the notion of cone metric spaces as a generalization of metric spaces. Huang and Zhang [1] presented the notion of convergence of sequences in cone metric spaces and proved some fixed point theorems. After, many authors established many fixed point theorems in cone metric spaces.

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