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Almost sure T-stability and convergence for random iterative algorithms

Almost sure T-stability and convergence for random iterative algorithms
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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.
作者 张石生 王雄瑞 刘敏 朱浸华
机构地区 Department of Mathematics
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 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)
关键词 almost sure T-stability separable Banach space Bochner integrability Ishikawa-type random iterative scheme Mann-type random iterative scheme 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—基础数学]
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Applied Mathematics and Mechanics(English Edition)
2011年 第6期

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