International Journal of Mathematics and Mathematical Sciences
Volume 19 (1996), Issue 2, Pages 243-252

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

Copyright © 1996 Yeol Je Cho et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.