Asymptotic Behavior of Iterates of a Generic Cyclical Nonexpansive Mapping

被引：2
|
作者：
Zaslavski, Alexander J. [1 ]
机构：
[1] Technion Israel Inst Technol, Dept Math, Haifa, Israel
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2022年 / 43卷 / 01期
关键词：
Complete metric space; cyclical mapping; generic element; iterate; CONVERGENCE; CONTRACTIONS; PROXIMITY; THEOREMS; APPROXIMATION; EXISTENCE; POINTS;
D O I：
10.1080/01630563.2022.2029484
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we consider a complete metric space of cyclical nonexpansive mappings acting on a union of two sets in a complete hyperbolic space with an empty intersection. Using Baire category approach, we show for most mappings the distance between iterates converges to the distance between these two sets.
引用
收藏
页码：116 / 125
页数：10
相关论文
共 50 条
  • [21] The behavior of iterates of multipliers in commutative Banach algebras
    Mustafayev, Heybetkulu
    Topal, Hayri
    ANNALES POLONICI MATHEMATICI, 2022, 128 (03) : 233 - 247
  • [22] Asymptotic properties of iterates of certain positive linear operators
    Mahmudov, N. I.
    MATHEMATICAL AND COMPUTER MODELLING, 2013, 57 (5-6) : 1480 - 1488
  • [23] Convergence of Inexact Iterates of an Algorithm Based on Unions of Nonexpansive Mappings in Metric Spaces
    Zaslavski, Alexander J. J.
    SYMMETRY-BASEL, 2022, 14 (12):
  • [24] Generic properties of nonexpansive mappings on unbounded domains
    Bargetz, Christian
    Reich, Simeon
    Thimm, Daylen
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2023, 526 (01)
  • [25] Generic convergence of iterates for a class of nonlinear mappings in hyperbolic spaces
    Reich, S
    Zaslavski, AJ
    COMPLEX ANALYSIS AND DYNAMICAL SYSTEMS II, 2005, 382 : 349 - 355
  • [26] A residual algorithm for finding a fixed point of a nonexpansive mapping
    La Cruz, William
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (03)
  • [27] Pythagorean Property and Asymptotic Relatively Nonexpansive Mappings
    Gabeleh, M.
    Markin, J.
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2018, 15 (03)
  • [28] Generic Existence and Approximation of Fixed Points for Nonexpansive Set-valued Maps
    de Blasi, Francesco S.
    Myjak, Jozef
    Reich, Simeon
    Zaslavski, Alexander J.
    SET-VALUED AND VARIATIONAL ANALYSIS, 2009, 17 (01) : 97 - 112
  • [29] Acceleration of the Halpern algorithm to search for a fixed point of a nonexpansive mapping
    Sakurai, Kaito
    Iiduka, Hideaki
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [30] Bregman Asymptotic Pointwise Nonexpansive Mappings in Banach Spaces
    Pang, Chin-Tzong
    Naraghirad, Eskandar
    ABSTRACT AND APPLIED ANALYSIS, 2013,
12345