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Almost sure T-stability and convergence for random iterative algorithms

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Received date: 2010-11-21

  Revised date: 2011-04-08

  Online published: 2011-06-01

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.

Cite this article

ZHANG Shi-Sheng;WANG Xiong-Rui;LIU Min;ZHU Jin-Hua . Almost sure T-stability and convergence for random iterative algorithms[J]. Applied Mathematics and Mechanics, 2011 , 32(6) : 805 -810 . DOI: 10.1007/s10483-011-1460-6

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