Document Type : Review paper

Authors

• F. Yousefi
• H. Rahimi
• G. Soleimani Rad

Department of Mathematics, Central Tehran Branch, Islamic Azad University, Tehran, Iran

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.

Keywords

• $mathcal{E}$-metric space
• Riesz space
• coincidence point
• weakly compatible pairs
• common fixed point