Almost sure T-stability and convergence for random iterative algorithms

被引：12

作者：

Zhang, Shi-sheng ^{[1
]}

Wang, Xiong-rui ^{[1
]}

Liu, Min ^{[1
]}

Zhu, Jin-hua ^{[1
]}

机构：

[1] Yibin Univ, Dept Math, Yibin 644007, Sichuan Prov, Peoples R China

来源：

APPLIED MATHEMATICS AND MECHANICS-ENGLISH EDITION | 2011年 / 32卷 / 06期

关键词：

almost sure T-stability; separable Banach space; Bochner integrability; Ishikawa-type random iterative scheme; Mann-type random iterative scheme; FIXED-POINT THEOREMS;

D O I：

10.1007/s10483-011-1460-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

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 I center dot-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.

引用

页码：805 / 810

页数：6

共 15 条

[1] ALBER Y, 1997, NEW RESULTS OPERATOR, P7
[2] Beg I., 2006, J APPL MATH STOCH AN, V19, P1, DOI 10.1155/JAMSA/2006/23297
[3] Berinde V., 2004, Acta Math. Univ. Comenian, V73, P119
[4] Berinde Vasile, 2002, Bul. St. Univ. Baia Mare Ser. B Fasc. Math. Inf., V18, P7
[5] Random ishikawa iterative sequence with applications
Chang, SS
Cho, YJ
Kim, JK
Zhou, HY
[J]. STOCHASTIC ANALYSIS AND APPLICATIONS, 2005, 23 (01) : 69 - 77
[6] HANSv O., 1961, P 4 BERKELEY S MATH, VII, P185
[7] RANDOM FIXED-POINT THEOREMS WITH AN APPLICATION TO RANDOM DIFFERENTIAL-EQUATIONS IN BANACH-SPACES
ITOH, S
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 67 (02) : 261 - 273
[8] Joshi M., 1985, SOME TOPICS NONLINEA
[9] Olatinwo MO, 2008, J ADV MATH STUD, V1, P5
[10] FIXED-POINT ITERATIONS USING INFINITE MATRICES
RHOADES, BE
[J]. TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 196 (SEP) : 161 - 176

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