Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings

被引:57
作者
Chang, SS [1 ]
机构
[1] Sichuan Univ, Dept Math, Chengdu 610064, Sichuan, Peoples R China
关键词
asymptotically nonexpansive mapping; asymptotically pseudo-contractive mapping; modified Isikawa iterative sequence with errors; modified Mann iterative sequence with error; fixed point;
D O I
10.1090/S0002-9939-00-05988-8
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Some convergence theorems of modified Ishikawa and Mann iterative sequences with errors for asymptotically pseudo-contractive and asymptotically nonexpansive mappings in Banach space are obtained. The results presented in this paper improve and extend the corresponding results in Goebel and Kirk (1972), Kirk (1965), Liu (1996), Schu (1991) and Chang et al. (to appear).
引用
收藏
页码:845 / 853
页数:9
相关论文
共 12 条
[2]   Some problems and results in the study of nonlinear analysis [J].
Chang, SS .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1997, 30 (07) :4197-4208
[3]  
CHANG SS, UNPUB SOME RESULTS C
[4]  
CHANG SS, UNPUB ITERATIVE APPR
[5]   FIXED-POINT THEOREM FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS [J].
GOEBEL, K ;
KIRK, WA .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1972, 35 (01) :171-&
[6]   A FIXED POINT THEOREM FOR MAPPINGS WHICH DO NOT INCREASE DISTANCES [J].
KIRK, WA .
AMERICAN MATHEMATICAL MONTHLY, 1965, 72 (09) :1004-&
[7]  
Liu QH, 1996, NONLINEAR ANAL-THEOR, V26, P1835
[8]   2 FIXED-POINT ITERATION METHODS [J].
RHOADES, BE .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1976, 56 (03) :741-750
[9]   ITERATIVE CONSTRUCTION OF FIXED-POINTS OF ASYMPTOTICALLY NONEXPANSIVE-MAPPINGS [J].
SCHU, J .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1991, 158 (02) :407-413
[10]   EXISTENCE AND CONVERGENCE FOR FIXED-POINTS OF MAPPINGS OF ASYMPTOTICALLY NONEXPANSIVE TYPE [J].
XU, HK .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1991, 16 (12) :1139-1146