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 50 条
  • [31] Some results on k-strictly pseudo-contractive mappings in Hilbert spaces
    Cho, Yeol Je
    Kang, Shin Min
    Qin, Xiaolong
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (05) : 1956 - 1964
  • [32] Notes on weak and strong convergence theorems for a finite family of asymptotically strict pseudo-contractive mappings in the intermediate sense
    Guo, Yan-Ni
    Dong, Qiao-Li
    Zhang, Zhi-Fei
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (04) : 2132 - 2141
  • [33] AN ITERATIVE SCHEME FOR EQUILIBRIUM PROBLEMS AND FIXED POINT PROBLEMS OF ASYMPTOTICALLY k-STRICT PSEUDO-CONTRACTIVE MAPPINGS
    Wang, Ziming
    Su, Yongfu
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2010, 25 (01): : 69 - 82
  • [34] Some results on a general iterative method for k-strictly pseudo-contractive mappings
    Jung, Jong Soo
    FIXED POINT THEORY AND APPLICATIONS, 2011,
  • [35] FIXED-POINTS OF ASYMPTOTICALLY CONTRACTIVE MAPPINGS
    BENAVIDES, TD
    ACEDO, GL
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1992, 164 (02) : 447 - 452
  • [36] Some results on a general iterative method for k-strictly pseudo-contractive mappings
    Jong Soo Jung
    Fixed Point Theory and Applications, 2011
  • [37] A FIXED POINT THEOREM OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS
    俞鑫泰
    戴兴德
    数学杂志, 1986, (03) : 255 - 262
  • [38] FIXED POINTS FOR MAPPINGS OF ASYMPTOTICALLY NONEXPANSIVE TYPE
    Benavides, T. Dominguez
    Ramirez, P. Lorenzo
    FIXED POINT THEORY, 2023, 24 (02): : 569 - 582
  • [39] The Implicit Midpoint Procedures for Asymptotically Nonexpansive Mappings
    Aibinu, M. O.
    Thakur, S. C.
    Moyo, S.
    JOURNAL OF MATHEMATICS, 2020, 2020
  • [40] Enriched asymptotically nonexpansive mappings with center zero
    Salisu, Sani
    Kumam, Poom
    Sriwongsa, Songpon
    Gopal, Dhananjay
    FILOMAT, 2024, 38 (01) : 343 - 356