Journal of Applied Mathematics and Stochastic Analysis 
Volume 16 (2003), Issue 3, Pages 275-282
doi:10.1155/S1048953303000224

A stochastic version of Fan's best approximation theorem

Abdul Rahim Khan,1 A. B. Thaheem,1 and Nawab Hussain2

 1King Fahd University of Petroleum & Minerals, Department of Mathematical Sciences, Dhahran 31261, Saudi Arabia
2Bahauddin Zakariya University, Centre for Advanced Studies in Pure and Applied Mathematics, Multan 60800, Pakistan
Received 1 March 2003; Revised 1 September 2003

Abstract

We establish some deterministic and random approximation results with the help of two continuous maps in the context of a metrizable topological vector space. These results generalize some well known results in approximation theory.