Approximation of fixed points of enriched asymptotically nonexpansive mappings in CAT(0) spaces

被引：5
|
作者：
Abbas, Mujahid [1 ]
Anjum, Rizwan [2 ]
Ismail, Nimra [3 ]
机构：
[1] Govt Coll Univ, Dept Math, Lahore, Pakistan
[2] Riphah Int Univ, Riphah Inst Comp & Appl Sci, Dept Math, Lahore, Pakistan
[3] Govt Coll Univ, Abdus Salam Sch Math Sci, Lahore 54600, Pakistan
来源：
RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO | 2023年 / 72卷 / 04期
关键词：
Fixed point; Enriched nonexpansive; CAT(0) space; B Karsnoselskij iteration; CONVERGENCE THEOREMS;
D O I：
10.1007/s12215-022-00806-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, a new iteration process involving enriched asymptotically nonexpansive mapping is defined in the setting of CAT(0) spaces. Strong and Delta convergence results via the newly defined iteration process are obtained. The rate of convergence of the new iteration process with Karsnoselskij iteration is compared with the help of a numerical experiment.
引用
收藏
页码：2409 / 2427
页数：19
相关论文
共 50 条
  • [31] Fixed point approximation of asymptotically nonexpansive mappings in hyperbolic spaces
    Fukhar-ud-din, Hafiz
    Kalsoom, Amna
    FIXED POINT THEORY AND APPLICATIONS, 2014,
  • [32] Δ-Convergence Problems for Asymptotically Nonexpansive Mappings in CAT(0) Spaces
    Shi, Luo Yi
    Chen, Ru Dong
    Wu, Yu Jing
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [33] Fixed point approximation of asymptotically nonexpansive mappings in hyperbolic spaces
    Hafiz Fukhar-ud-din
    Amna Kalsoom
    Fixed Point Theory and Applications, 2014
  • [34] Approximating fixed points of α-nonexpansive mappings in uniformly convex Banach spaces and CAT(0) spaces
    Eskandar Naraghirad
    Ngai-Ching Wong
    Jen-Chih Yao
    Fixed Point Theory and Applications, 2013
  • [35] Approximating fixed points of α-nonexpansive mappings in uniformly convex Banach spaces and CAT(0) spaces
    Naraghirad, Eskandar
    Wong, Ngai-Ching
    Yao, Jen-Chih
    FIXED POINT THEORY AND APPLICATIONS, 2013, : 1 - 20
  • [36] Approximation of Fixed Points of Multivalued Generalized (α,β)-Nonexpansive Mappings in an Ordered CAT(0) Space
    Abbas, Mujahid
    Iqbal, Hira
    De la Sen, Manuel
    Ahmad, Khushdil
    MATHEMATICS, 2021, 9 (16)
  • [37] APPROXIMATION OF NEAREST COMMON FIXED POINTS OF ASYMPTOTICALLY I-NONEXPANSIVE MAPPINGS IN BANACH SPACES
    Cho, Yeol Je
    Hussain, Nawab
    Pathak, Hemant Kumar
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 26 (03): : 483 - 498
  • [38] Approximation of common fixed points for finite families of nonself asymptotically nonexpansive mappings in Banach spaces
    Chidume, C. E.
    Ali, Bashir
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2007, 326 (02) : 960 - 973
  • [39] NUMERICAL RECKONING OF FIXED POINTS FOR GENERALIZED NONEXPANSIVE MAPPINGS IN CAT(0) SPACES WITH APPLICATIONS
    Kumar, Manoj
    Pathak, Hemant Kumar
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2022, 84 (02): : 117 - 128
  • [40] NUMERICAL RECKONING OF FIXED POINTS FOR GENERALIZED NONEXPANSIVE MAPPINGS IN CAT(0) SPACES WITH APPLICATIONS
    Kumar, Manoj
    Pathak, Hemant Kumar
    UPB Scientific Bulletin, Series A: Applied Mathematics and Physics, 2022, 84 (02): : 117 - 128
12345