Stability of iterative procedures with errors approximating common fixed points for a couple of quasi-contractive mappings in q-uniformly smooth Banach spaces

被引：24

作者：

Agarwal, RP

Cho, YJ ^{[1
]}

Li, J

Huang, NJ

机构：

[1] Gyeongsang Natl Univ, Dept Math, Chinju 660701, South Korea

[2] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China

[3] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 272卷 / 02期

关键词：

stability; iterative procedures with errors; a couple of quasi-contractive mappings; common fixed point; q-uniformly smooth Banach space;

D O I：

10.1016/S0022-247X(02)00150-6

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce the new iterative sequences with errors approximating the common fixed point for a couple of quasi-contractive mappings and show the stability of the iterative procedures with errors in q-uniformly smooth Banach spaces. Our results extend, improve and unify the corresponding results of Chidume, Osilike, Liu, and others. (C) 2002 Elsevier Science (USA). All rights reserved.

引用

页码：435 / 447

页数：13

共 19 条

[1] Stability of iterative processes with errors for nonlinear equations of φ-strongly accretive type operators
Agarwal, RP
Huang, NJ
Cho, YJ
[J]. NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2001, 22 (5-6) : 471 - 485
[2] RANDOM FIXED-POINT THEOREM IN PROBABILISTIC ANALYSIS
CHANG, SS
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1981, 5 (02) : 113 - 122
[3] CHIDUME CE, 1991, INDIAN J PURE AP MAT, V22, P273
[4] CHIDUME CE, 1993, B KOREAN MATH SOC, V30, P201
[5] GENERALIZATION OF BANACHS CONTRACTION PRINCIPLE
CIRIC, LB
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1974, 45 (02) : 267 - 273
[6] Harder A. M., 1988, MATH JAPON, V33, P687
[7] Harder A.M., 1987, Fixed point theory and stability results for fixed point iteration procedures
[8] HARDER MA, 1988, MATH JPN, V33, P693
[9] A perturbed iterative procedure for multivalued pseudo-contractive mappings and multivalued accretive mappings in Banach spaces
Huang, NJ
Bai, MR
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 1999, 37 (06) : 7 - 15
[10] Convergence of iterative processes with errors for set-valued pseudocontractive and accretive type mappings in Banach spaces
Huang, NJ
Cho, YJ
Lee, BS
Jung, JS
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2000, 40 (10-11) : 1127 - 1139

← 1 2 →