Shi-sheng ZHANG,Xiong-rui WANG,Min LIU,Jin-hua ZHU ( Department of Mathematics,Yibin University,Yibin 644007,Sichuan Province,P.R.China)
Abstract:
The purpose of this paper is to study the almost sure T-stability and convergence of Ishikawa-type and Mann-type random iterative algorithms for some kind of φ-weakly contractive type random operators in a separable Banach space. Under suitable conditions, the Bochner integrability of random fixed points for this kind of random operators and the almost sure T-stability and convergence for these two kinds of random iterative algorithms are proved.