Almost sure T-stability and convergence for random iterative algorithms

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 p...

Full description

Saved in:
Bibliographic Details
Published inApplied mathematics and mechanics Vol. 32; no. 6; pp. 805 - 810
Main Author 张石生 王雄瑞 刘敏 朱浸华
Format Journal Article
LanguageEnglish
Published Heidelberg Shanghai University Press 01.06.2011
Department of Mathematics, Yibin University, Yibin 644007, Sichuan Province, P. R. China
Subjects
Applications of Mathematics
Banach space
Classical Mechanics
Convergence
Fluid- and Aerodynamics
Iterative algorithms
Mathematical analysis
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Operators
Partial Differential Equations
separable Banach space
Ishikawa-type random iterative scheme
Mann-type random iterative scheme
almost sure
47H09
49M05
Bochner integrability
47H05
stability
O177.91
54H25
almost sure T-stability
Online AccessGet full text

Cover

More Information
Summary: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.
Bibliography:almost sure T-stability, separable Banach space, Bochner integrability,Ishikawa-type random iterative scheme, Mann-type random iterative scheme
31-1650/O1
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.
ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0253-4827
1573-2754
DOI:10.1007/s10483-011-1460-6