Journal of Applied Mathematics and Stochastic Analysis 
Volume 15 (2002), Issue 1, Pages 29-37
doi:10.1155/S1048953302000035

On the probabilistic domain invariance

Ismat Beg1 and Sorin Gal2

1Lahore University of Management Sciences, Department of Mathematics, Lahore 54792, Pakistan
2University of Oradea, Department of Mathematics, Oradea 3700, Romania

Received 1 October 1999; Revised 1 August 2001

Abstract

Probabilistic version of the invariance of domain for contractive field and Schauder invertibility theorem are proved. As an application, the stability of probabilistic open embedding is established.