ASYMPTOTIC BEHAVIOR OF INEXACT ORBITS OF NONEXPANSIVE MAPPINGS

被引:2
|
作者
Reich, Simeon [1 ]
Zaslavski, Alexander J. [1 ]
机构
[1] Technion Israel Inst Technol, Dept Math, IL-32000 Haifa, Israel
基金
以色列科学基金会;
关键词
Complete metric space; fixed point; inexact iteration; nonexpansive mapping;
D O I
10.12775/TMNA.2020.043
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We study the convergence of inexact iterates of nonexpansive mappings which take a nonempty closed subset of a complete metric space into the space in the case where the errors are sufficiently small.
引用
收藏
页码:525 / 535
页数:11
相关论文
共 50 条
  • [31] On a result of Pazy concerning the asymptotic behaviour of nonexpansive mappings
    Bauschke, Heinz H.
    Douglas, Graeme R.
    Moursi, Walaa M.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2016, 18 (02) : 297 - 307
  • [32] Two Convergence Results for Inexact Orbits of Nonexpansive Operators in Metric Spaces with Graphs
    Zaslavski, Alexander J.
    AXIOMS, 2023, 12 (10)
  • [33] Iterated nonexpansive mappings
    Tomás Domínguez Benavides
    Enrique Llorens-Fuster
    Journal of Fixed Point Theory and Applications, 2018, 20
  • [34] ORBITALLY NONEXPANSIVE MAPPINGS
    Llorens-Fuster, Enrique
    BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 2016, 93 (03) : 497 - 503
  • [35] On directionally nonexpansive mappings
    Llorens-Fuster, Enrique
    EUROPEAN JOURNAL OF MATHEMATICS, 2024, 10 (03)
  • [36] Iterated nonexpansive mappings
    Dominguez Benavides, Tomas
    Llorens-Fuster, Enrique
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (03)
  • [37] Weak fixed point property for nonexpansive mappings with respect to orbits in Banach spaces
    Amini-Harandi, A.
    Fakhar, M.
    Hajisharifi, H. R.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2016, 18 (03) : 601 - 607
  • [38] Weak fixed point property for nonexpansive mappings with respect to orbits in Banach spaces
    A. Amini-Harandi
    M. Fakhar
    H. R. Hajisharifi
    Journal of Fixed Point Theory and Applications, 2016, 18 : 601 - 607
  • [39] Mann iteration process for asymptotic pointwise nonexpansive mappings in metric spaces
    Ibn Dehaish, B. A.
    Khamsi, M. A.
    Khan, A. R.
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2013, 397 (02) : 861 - 868
  • [40] Ishikawa iteration process for asymptotic pointwise nonexpansive mappings in metric spaces
    Bin Dehaish, Buthinah A.
    FIXED POINT THEORY AND APPLICATIONS, 2013,