On Reich's strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces

被引:12
|
作者
Chang, S. S. [1 ]
Lee, H. W. Joseph
Chan, Chi Kin
机构
[1] Yibin Univ, Dept Math, Yibin 644007, Sichuan, Peoples R China
[2] Sichuan Univ, Dept Math, Chengdu 610064, Peoples R China
[3] Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
关键词
fixed; asymptotically nonexpansive mapping; iterative scheme;
D O I
10.1016/j.na.2006.03.025
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 Reich's strongly convergence theorems for asymptotically nonexpansive mappings in Banach spaces. Under some general conditions an affirmative partial answer to Reich's open question is given and some recent results are improved and generalized. (c) 2006 Elsevier Ltd. All rights reserved.
引用
收藏
页码:2364 / 2374
页数:11
相关论文
共 50 条
  • [1] A strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces
    Naoki Shioji
    Wataru Takahashi
    [J]. Archiv der Mathematik, 1999, 72 : 354 - 359
  • [2] A strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces
    Shioji, N
    Takahashhi, W
    [J]. ARCHIV DER MATHEMATIK, 1999, 72 (05) : 354 - 359
  • [3] Strong convergence theorem for quasi-φ-asymptotically nonexpansive mappings in the intermediate sense in Banach spaces
    Ma, Zhaoli
    Wang, Lin
    Chang, Shih-sen
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
  • [4] Strong convergence theorem for quasi-ϕ-asymptotically nonexpansive mappings in the intermediate sense in Banach spaces
    Zhaoli Ma
    Lin Wang
    Shih-sen Chang
    [J]. Journal of Inequalities and Applications, 2013
  • [5] Strong Convergence Theorems for Semigroups of Asymptotically Nonexpansive Mappings in Banach Spaces
    Sahu, D. R.
    Wong, Ngai-Ching
    Yao, Jen-Chih
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [6] Strong convergence of averaged approximants for asymptotically nonexpansive mappings in Banach spaces
    Shioji, N
    Takahashi, W
    [J]. JOURNAL OF APPROXIMATION THEORY, 1999, 97 (01) : 53 - 64
  • [7] Strong convergence of iterative sequences for asymptotically nonexpansive mappings in Banach spaces
    Chang, SS
    Agarwal, RP
    Cho, YJ
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2005, 14 (3-4): : 447 - 454
  • [8] Strong convergence theorem for asymptotically nonexpansive mappings
    Shimizu, T
    Takahashi, W
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (02) : 265 - 272
  • [9] CONVERGENCE THEOREMS FOR ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN BANACH SPACES
    Su, Yongfu
    Qin, Xiaolong
    Shang, Meijuan
    [J]. ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2008, 77 (01): : 31 - 42
  • [10] Weak and strong convergence theorems for a finite family of nonexpansive and asymptotically nonexpansive mappings in Banach spaces
    Saejung, Satit
    Sitthikul, Kittipong
    [J]. THAI JOURNAL OF MATHEMATICS, 2008, 6 (03): : 15 - 26