ON APPROXIMATION OF FIXED POINTS OF MEAN NONEXPANSIVE MAPPINGS IN CAT(0) SPACES

被引:0
|
作者
Abkar, Ali [1 ]
Rastgoo, Mojtaba [1 ]
机构
[1] Imam Khomeini Int Univ, Fac Sci, Dept Pure Math, Qazvin 34149, Iran
关键词
Iterative algorithm; CAT(0) space; weak convergence; Delta-convergence; mean nonexpansive mapping;
D O I
10.22190/FUMI1803481A
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
A new iterative algorithm for approximating fixed points of mean nonexpansive mappings in CAT(0) spaces is introduced. As a result, a Delta-convergence theorem is established. The result we obtain improves and extends several recent results in the literature. Finally, some numerical examples are presented to illustrate the main result and to compare the new algorithm with some existing ones.
引用
下载
收藏
页码:481 / 496
页数:16
相关论文
共 50 条
  • [1] Approximation of fixed points of enriched asymptotically nonexpansive mappings in CAT(0) spaces
    Abbas, Mujahid
    Anjum, Rizwan
    Ismail, Nimra
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2023, 72 (04) : 2409 - 2427
  • [2] Approximation of fixed points of enriched asymptotically nonexpansive mappings in CAT(0) spaces
    Mujahid Abbas
    Rizwan Anjum
    Nimra Ismail
    Rendiconti del Circolo Matematico di Palermo Series 2, 2023, 72 : 2409 - 2427
  • [3] Approximation of Fixed Points for Mean Nonexpansive Mappings in Banach Spaces
    Ahmad, Junaid
    Ullah, Kifayat
    Arshad, Muhammad
    de la Sen, Manuel
    JOURNAL OF FUNCTION SPACES, 2021, 2021
  • [4] Approximation of Common Fixed Points of Suzuki-Square-α-Nonexpansive Mappings in CAT(0) Spaces
    Bantaojai, Thanatporn
    Suanoom, Cholatis
    Chanmanee, Chatsuda
    THAI JOURNAL OF MATHEMATICS, 2022, : 113 - 123
  • [5] Approximating Fixed Points of Nonexpansive Nonself Mappings in CAT(0) Spaces
    W Laowang
    B Panyanak
    Fixed Point Theory and Applications, 2010
  • [6] Approximating Fixed Points of Nonexpansive Nonself Mappings in CAT(0) Spaces
    Laowang, W.
    Panyanak, B.
    FIXED POINT THEORY AND APPLICATIONS, 2010,
  • [7] APPROXIMATING COMMON FIXED POINTS OF NONEXPANSIVE MAPPINGS IN CAT(0) SPACES
    Garodia, Chanchal
    Uddin, Izhar
    UNIVERSITY POLITEHNICA OF BUCHAREST SCIENTIFIC BULLETIN-SERIES A-APPLIED MATHEMATICS AND PHYSICS, 2019, 81 (04): : 85 - 96
  • [8] FIXED POINT THEOREMS FOR MEAN NONEXPANSIVE MAPPINGS IN CAT(0) SPACES
    Zhou, Jing
    Cui, Yunan
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2015, 36 (09) : 1224 - 1238
  • [9] FIXED POINTS OF ASYMPTOTICALLY NONEXPANSIVE MAPPINGS IN THE INTERMEDIATE SENSE IN CAT(0) SPACES
    Abbas, Mujahid
    Thakur, Balwant Singh
    Thakur, Dipti
    COMMUNICATIONS OF THE KOREAN MATHEMATICAL SOCIETY, 2013, 28 (01): : 107 - 121
  • [10] Fixed point approximation of Presic nonexpansive mappings in product of CAT (0) spaces
    Fukhar-ud-din, Hafiz
    Berinde, Vasile
    Khan, Abdul Rahim
    CARPATHIAN JOURNAL OF MATHEMATICS, 2016, 32 (03) : 315 - 322