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
来源：
TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS | 2022年 / 59卷 / 2A期
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
  • [1] Inexact orbits of nonexpansive mappings
    Pustylnik, Evgeniy
    Reich, Simeon
    Zaslavski, Alexander J.
    TAIWANESE JOURNAL OF MATHEMATICS, 2008, 12 (06): : 1511 - 1523
  • [2] Asymptotic behavior of inexact infinite products of nonexpansive mappings
    Reich, Simeon
    Zaslavski, Alexander J.
    STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2021, 66 (01): : 127 - 138
  • [3] Inexact orbits of nonexpansive mappings with nonsummable errors
    Reich, Simeon
    Zaslavski, Alexander J.
    ANALYSIS AND MATHEMATICAL PHYSICS, 2020, 10 (02)
  • [4] INEXACT ORBITS AND BOUNDEDNESS OF ITERATES OF NONEXPANSIVE MAPPINGS
    Budzynska, Monika
    Kaczor, Wieslawa
    Reich, Simeon
    JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2016, 17 (07) : 1283 - 1290
  • [5] Convergence of inexact orbits of monotone nonexpansive mappings
    Reich, Simeon
    Zaslavski, Alexander J.
    CARPATHIAN JOURNAL OF MATHEMATICS, 2018, 34 (03) : 405 - 410
  • [6] Inexact orbits of nonexpansive mappings with nonsummable errors
    Simeon Reich
    Alexander J. Zaslavski
    Analysis and Mathematical Physics, 2020, 10
  • [7] Asymptotic Behavior of Inexact Infinite Products of Nonexpansive Mappings in Metric Spaces
    Reich, Simeon
    Zaslavski, Alexander J.
    ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2014, 33 (01): : 101 - 117
  • [8] Three convergence results for inexact orbits of nonexpansive mappings
    Zaslavski A.J.
    Journal of Applied and Numerical Optimization, 2019, 1 (02): : 157 - 165
  • [9] Inexact orbits of set-valued nonexpansive mappings with summable errors
    Reich S.
    Zaslavski A.J.
    J. Appl. Numer. Optim., 2020, 1 (101-107): : 101 - 107
  • [10] Asymptotic behavior for asymptotically nonexpansive mappings
    Lin, PK
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 1996, 26 (06) : 1137 - 1141
12345