Fixed Point Theorems for Contractive Mappings in Probabilistic Modular Spaces

Abstract

In this paper we introduce the concept of contractive maps and prove some related fixed point theorems in probabilistic modular spaces. In addition, we investigate the existence of common fixed points for a finite linear combination of contractive mappings. Finally, some results concerned with the convergence properties of sequences defined by contractive maps in probabilistic modular spaces are also given.