Almost sure T-stability and convergence for random iterative algorithms  

作　　者：张石生 王雄瑞 刘敏 朱浸华 

机构地区：[1]Department of Mathematics,Yibin University

出　　处：《Applied Mathematics and Mechanics(English Edition)》2011年第6期805-810,共6页应用数学和力学（英文版）

基　　金：Project supported by the Natural Science Foundation of Yibin University (No. 2011Z03)

摘　　要：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 C-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.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 C-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.

关 键 词：almost sure T-stability separable Banach space Bochner integrability Ishikawa-type random iterative scheme Mann-type random iterative scheme 

分 类 号：O177.91[理学—数学]