$\mathcal{E}$-metric spaces and common fixed point theorems

Subject Areas : Fixed point theory

F. Yousefi ¹ (Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran)
H. Rahimi ² (Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran)
G. Soleimani Rad ³ (Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran)

Received: 2022-04-03 Accepted : 2022-07-29 Published : 2022-09-01

Keywords: Riesz space, Common fixed point, Weakly compatible pairs, coincidence point, $mathcal{E}$-metric space,

Abstract :

In this work we review some common fixed point theorems for four mappings without appealing to continuity in $\mathcal{E}$-metric spaces, where the metric is Riesz space valued. These results cover well-known comparable results in the existing literature by considering fewer conditions.

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