International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Issue 5, Pages 23486, 15 p.
doi:10.1155/IJMMS/2006/23486
Common random fixed points of compatible random operators
Ismat Beg
and Mujahid Abbas
Department of Mathematics and Center for Advanced Studies in Mathematics, Lahore University of Management Sciences, Lahore 54792, Pakistan
Abstract
We construct a random iteration scheme and study necessary conditions for its convergence to a common random fixed point of two pairs of compatible random operators satisfying Meir-Keeler type conditions in Polish spaces. Some random fixed point theorems for weakly compatible random operators under generalized contractive conditions in the framework of symmetric spaces are also proved.