随机迭代算法的几乎必然T-稳定性及收敛性  

Almost Surely T-Stability and Convergence for Random Iterative Algorithms

作　　者：张石生[1] 王雄瑞[1] 刘敏[1] 朱浸华[1] 

机构地区：[1]宜宾学院数学系,四川宜宾644007

出　　处：《应用数学和力学》2011年第6期754-760,共7页Applied Mathematics and Mechanics

基　　金：宜宾学院自然科学基金(2011Z03)的资助

摘　　要：目的是在可分Banach空间的框架下,研究某些类型的-弱压缩型的随机算子的Ishikawa-型及Mann-型随机迭代算法的几乎必然T-稳定性及收敛性.在适当的条件下,证明了该类随机算子的随机不动点的Bochner可积性以及这两类随机迭代算法的几乎必然T-稳定性及收敛性.The purpose was to study the almost surely T-stability and convergence of Ishikawatype 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 Boclmer integrability of random fixed points for this kind of random operators and the almost surely T-stability and convergence for these two kinds of random iterative algorithms were proved.

关 键 词：随机迭代算法 T-稳定性 收敛性 可分BANACH空间 ISHIKAWA 随机算子 随机不动点 n-型 

分 类 号：O177.91[理学—数学]