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Almost sure T-stability and convergence for random iterative algorithms

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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.

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Authors and Affiliations

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

    Shi-sheng Zhang  (张石生), Xiong-rui Wang  (王雄瑞), Min Liu  (刘 敏) & Jin-hua Zhu  (朱浸华)

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  1. Shi-sheng Zhang  (张石生)
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  2. Xiong-rui Wang  (王雄瑞)
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  3. Min Liu  (刘 敏)
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  4. Jin-hua Zhu  (朱浸华)
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Corresponding author

Correspondence to Shi-sheng Zhang  (张石生).

Additional information

Contributed by Shi-sheng ZHANG

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

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Zhang, Ss., Wang, Xr., Liu, M. et al. Almost sure T-stability and convergence for random iterative algorithms. Appl. Math. Mech.-Engl. Ed. 32, 805–810 (2011). https://doi.org/10.1007/s10483-011-1460-6

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  • DOI: https://doi.org/10.1007/s10483-011-1460-6

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Chinese Library Classification

2010 Mathematics Subject Classification

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