GENERAL ITERATION SCHEME WITH PERTURBED MAPPING FOR COMMON FIXED POINTS OF A FINITE FAMILY OF NONEXPANSIVE MAPPINGS

被引：0

作者：

Beg, Ismat ^{[1
]}

Thakur, Balwant Singh ^{[2
]}

机构：

[1] LUMS, Dept Math, Lahore 54792, Pakistan

[2] Pt Ravishankar Shukla Univ, Sch Studies Math, Raipur 492010, Madhya Pradesh, India

来源：

FIXED POINT THEORY | 2008年 / 9卷 / 02期

关键词：

General iteration scheme; nonexpansive random operator; fixed point; perturbed mapping;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new general composite implicit random iteration scheme with perturbed mapping is proposed and obtain necessary and sufficient conditions for strong convergence of proposed iteration scheme to random fixed point of a finite family of random nonexpansive mappings are obtained.

引用

收藏

页码：407 / 421

页数：15

相关论文

共 21 条

[1] Iterative procedures for solutions of random operator equations in Banach spaces [J].

Beg, I ;

Abbas, M .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 315 (01) :181-201

[2] Approximation of random fixed points in normed spaces [J].

Beg, I .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2002, 51 (08) :1363-1372

[3]

Beg I., 1993, J APPL MATH STOCH AN, V6, P237

[4] FIXED-POINT THEOREMS IN PROBABILISTIC ANALYSIS [J].

BHARUCHAREID, AT .

BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 82 (05) :641-657

[5] NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE [J].

BROWDER, FE .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1965, 54 (04) :1041-&

[6] Convergence theorems for implicit iteration process for a finite family of continuous pseudocontractive mappings [J].

Chen, RD ;

Song, YS ;

Zhou, HY .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 314 (02) :701-709

[7] Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings [J].

Chidume, CE ;

Shahzad, N .

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 62 (06) :1149-1156

[8]

GOEBEL K., 1990, TOPICS METRIC FIXED

[9] ZUM PRINZIP DER KONTRAKTIVEN ABBILDUNG [J].

GOHDE, D .

MATHEMATISCHE NACHRICHTEN, 1965, 30 (3-4) :251-&

[10] RANDOM FIXED-POINT THEOREMS WITH AN APPLICATION TO RANDOM DIFFERENTIAL-EQUATIONS IN BANACH-SPACES [J].

ITOH, S .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1979, 67 (02) :261-273