Probabilistic modular metric spaces

Abstract

The purpose of this study is to investigate the connection between probabilistic and modular metric spaces. We discussseveral important properties such as convergence and completeness,etc, and the relationship among the mentioned properties in the probabilistic metric and modular metric spaces. Also corresponding examples of probabilistic metric space obtained by a metric space is extended to modular metric spaces.

Keywords

• probabilistic metric space
• modular metric space
• luxemburg metric