Probabilistic Modular Metric Spaces

The purpose of this study is to introduce probabilistic modular metric spaces and to extend corresponding examples of probabilistic metric space obtained by a metric space to modular metric spaces. We discuss several important properties as convergence and completeness and we investigate the relationship among the mentioned properties between probabilistic metric space and modular metric spaces. In addition, we study the connection between Fconvergence and the Luxemburg metric on the probabilistic modular metric spaces.

Keywords:

Probabilistic metric space , Modular metric space , Luxemburg metric.