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
来源：
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS | 2018年 / 33卷 / 03期
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
  • [41] Convergence theorems of common fixed points for some semigroups of nonexpansive mappings in complete CAT(0) spaces
    Lin, Lai-Jiu
    Chuang, Chih-Sheng
    Yu, Zenn-Tsun
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [42] APPROXIMATION OF FIXED-POINTS OF NONEXPANSIVE MAPPINGS
    LIONS, PL
    COMPTES RENDUS HEBDOMADAIRES DES SEANCES DE L ACADEMIE DES SCIENCES SERIE A, 1977, 284 (21): : 1357 - 1359
  • [43] Approximating fixed points for nonself mappings in CAT(0) spaces
    Abdolrahman Razani
    Saeed Shabani
    Fixed Point Theory and Applications, 2011
  • [44] Iterative approximation of fixed points of nonexpansive mappings
    Chidume, CE
    Chidume, CO
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2006, 318 (01) : 288 - 295
  • [45] Approximating fixed points for nonself mappings in CAT(0) spaces
    Razani, Abdolrahman
    Shabani, Saeed
    FIXED POINT THEORY AND APPLICATIONS, 2011, : 1 - 7
  • [46] Picard Approximation of Fixed Points of Nonexpansive Mappings
    黄家琳
    Railway Engineering Science, 2003, (02) : 189 - 191
  • [47] Approximating fixed points for generalized nonexpansive mapping in CAT(0) spaces
    Izhar Uddin
    Sumitra Dalal
    Mohammad Imdad
    Journal of Inequalities and Applications, 2014
  • [48] Approximating fixed points for generalized nonexpansive mapping in CAT(0) spaces
    Uddin, Izhar
    Dalal, Sumitra
    Imdad, Mohammad
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [49] A New Iteration Process for Approximation of Fixed Points of α-ψ-Contractive Type Mappings in CAT(0) Spaces
    Abkar, Ali
    Rastgoo, Mojtaba
    Guran, Liliana
    FILOMAT, 2021, 35 (04) : 1369 - 1381
  • [50] FIXED POINTS OF NONEXPANSIVE MAPPINGS IN BANACH SPACES
    Golkar, F.
    Dianatifar, A.
    Aminpour, A. M.
    Sadeghi, M.
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2014, 12 (04): : 295 - 303
12345