Journal of Applied Mathematics and Stochastic Analysis
Volume 6 (1993), Issue 2, Pages 95-106

Random fixed point theorems on product spaces

Ismat Beg and Naseer Shahzad

Quaid-i-Azam University, Department of Mathematics, Islamabad 45320, Pakistan

Received 1 August 1992; Revised 1 February 1993

Copyright © 1993 Ismat Beg and Naseer Shahzad. 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.


The existence of random fixed point of a locally contractive random operator in first variable on product spaces is proved. The concept “continuous random height-selection” is discussed. Some random fixed point theorems for nonexpansive self and nonself maps are also obtained in product spaces.