On α-ω-Meir-Keeler contractive Mappings

Document Type : Research Article

Author

Researcher, Department of Mathematics, Farhangian University

Abstract

In this paper, in the setting of modular metric spaces, we introduce the class of Meir-Keeler contractive and we establish some results of fixed point. As consequences of these results, we deduce fixed point theorems in modular metric spaces endowed with a graph and in partially ordered metric spaces. Some examples are furnished to demonstrate the validity of the obtained results.

Keywords