随机迭代算法的几乎必然T-稳定性及收敛性

张石生; 王雄瑞; 刘敏; 朱浸华

doi:10.3879/j.issn.1000-0887.2011.06.013

随机迭代算法的几乎必然T-稳定性及收敛性

doi: 10.3879/j.issn.1000-0887.2011.06.013

宜宾学院数学系, 四川宜宾 644007

详细信息

作者简介:
张石生(1934- ),男,云南曲靖人,教授(联系人.E-mail:changss@yahoo.cn).

中图分类号: O177.91
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出版历程
- 收稿日期: 2010-11-24
- 修回日期: 2011-04-08
- 刊出日期: 2011-06-15

Almost Surely T-Stability and Convergence for Random Iterative Algorithms

Department of Mathematics, Yibin University, Yibin, Sichuan 644007, P. R. China

摘要

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．
- 几乎必然T-稳定性 /
- 可分Banach空间 /
- Bochner可积性 /
- Ishikawa-型随机迭代程序 /
- Mann-型随机迭代程序
Abstract: The purpose was to study the almost surely 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 surely T-stability and convergence for these two kinds of random iterative algorithms were proved.
- almost surely T-stability /
- separable Banach space /
- Bochner integrability /
- Ishikawa type random iterative scheme /
- Mann-type random iterative scheme

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参考文献(15)

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