International Journal of Mathematics and Mathematical Sciences 
Volume 19 (1996), Issue 2, Pages 243-252
doi:10.1155/S0161171296000348

Fixed point theorems in metric spaces and probabilistic metric spaces

Yeol Je Cho,1 Keun Saeng Park,1 and Shih-Sen Chang2

 1Department of Mathematics, Gyeongsang National University, Jinju 660-701, Korea
2Department of Mathematics, Sichuan University, Sichuan, Chengdu 610064, China
Received 26 January 1993; Revised 19 April 1995

Abstract

In this paper, we prove some common fixed point theorems for compatible mappings of type (A) in metric spaces and probabilistic metric spaces Also, we extend Caristi's fixed point theorem and Ekeland's variational principle in metric spaces to probabilistic metric spaces.