Interpolative Meir–Keeler Mappings in Modular Metric Spaces

Abstract

Modular metric space is one of the most interesting spaces in the framework of the metric fixed point theory. The main goal of the paper is to provide some certain fixed point results in the context of modular metric spaces and non-Archimedean modular metric spaces. In particular, we examine the existence of interpolative Meir–Keeler contraction types via admissible mappings for fixed point theory. Our results bring together several results available in the current corresponding literature.

Keywords

• modular metric spaces
• interpolative contraction
• fixed point
• Meir–Keeler contraction