Almost Surely <em>T</em>-Stability and Convergence for Random Iterative Algorithms

ZHANG Shi-sheng; WANG Xiong-rui; LIU Min; ZHU Jin-hua

doi:10.3879/j.issn.1000-0887.2011.06.013

Volume 32 Issue 6

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ZHANG Shi-sheng, WANG Xiong-rui, LIU Min, ZHU Jin-hua. Almost Surely T-Stability and Convergence for Random Iterative Algorithms[J]. Applied Mathematics and Mechanics, 2011, 32(6): 754-760. doi: 10.3879/j.issn.1000-0887.2011.06.013

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Almost Surely T-Stability and Convergence for Random Iterative Algorithms

doi: 10.3879/j.issn.1000-0887.2011.06.013

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

Received Date: 2010-11-24
Rev Recd Date: 2011-04-08
Publish Date: 2011-06-15

Abstract

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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References

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