Extensions of a common fixed point theorem of Jungck in probabilistic Banach spaces

Document Type : Research Articles

Author

Department of Pure Mathematics, Faculty of Mathematical Sciences,, University of Shahrekord

Abstract

In this paper, we extend and improve a common fixed point theorem of G. Jungck. We utilize the notions of weakly commuting and compatible mappings in probabilistic Banach spaces to prove some common fixed point theorems for improved type Jungck contractions.
In addition, we present some examples which support our theorems.

Keywords