STRONG CONVERGENCE THEOREM OF COMMON RANDOM FIXED POINTS FOR STRICTLY PSEUDOCONTRACTIVE RANDOM OPERATORS

O. Suttisri (Thailand)

Received November 4, 2007

Abstract

In this paper, we prove the strong convergence theorem of implicit iteration process to a common random fixed point for a finite family of strictly pseudocontractive random operators in separable Banach spaces. Our results are an extension of some results given by Kumam  et al. [10] and improve stochastic version the corresponding ones announced by Osilike [14], Su and Li [21] and some others.

Keywords and phrases: random fixed point, strictly pseudocontractive, random iteration process, implicit iterative, measurable spaces.