$\mathcal{E}$-metric spaces and common fixed point theorems
Subject Areas : Fixed point theoryF. Yousefi 1 , H. Rahimi 2 , G. Soleimani Rad 3
1 - Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
2 - Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
3 - Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran
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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