Strong convergence of a composite Halpern-type iteration for a family of nonexpansive mappings in CAT (0) spaces

被引：0
|
作者：
Ranjbar, Sajad [1 ]
机构：
[1] Higher Educ Ctr Eghlid, Coll Sci, Dept Math, Eghlid, Iran
来源：
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA | 2017年 / 25卷 / 03期
关键词：
Fixed point; Strong convergence; Composite Halpern-type iteration; Non-expansive mapping; CAT(0)space; FIXED-POINTS; APPROXIMATION;
D O I：
10.1515/auom-2017-0044
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper,we prove the strong convergence of the composite Halpern-type iteration for a family of nonexpansive mappings in CAT(0) spaces and compare our results with several recent results in this subject. Also,the inexact version of the Halpern iteration is studied in CAT(0) spaces.
引用
收藏
页码：183 / 197
页数：15
相关论文
共 50 条
  • [21] A modified Halpern iteration in CAT(0) spaces
    Cholamjiak P.
    Rendiconti del Circolo Matematico di Palermo, 2014, 63 (1) : 19 - 27
  • [22] A modified halpern-type iteration algorithm for totally quasi-φ-asymptotically nonexpansive mappings with applications
    Chang, S. S.
    Lee, H. W. Joseph
    Chan, Chi Kin
    Zhang, W. B.
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (11) : 6489 - 6497
  • [23] Δ-Convergence and Strong Convergence for Asymptotically Nonexpansive Mappings on a CAT(0) Space
    Yambangwai, Damrongsak
    Thianwan, Tanakit
    THAI JOURNAL OF MATHEMATICS, 2021, 19 (03): : 813 - 826
  • [24] Attractive points and Halpern-type strong convergence theorems in Hilbert spaces
    Wataru Takahashi
    Ngai-Ching Wong
    Jen-Chih Yao
    Journal of Fixed Point Theory and Applications, 2015, 17 : 301 - 311
  • [25] Strong convergence of the Modified Halpern-type iterative algorithms in Banach spaces
    Cho, Yeol Je
    Qin, Xiaolong
    Kang, Shin Min
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2009, 17 (01): : 51 - 68
  • [26] Strong Convergence Theorems of Halpern's Type for Families of Nonexpansive Mappings in Hilbert Spaces
    Nakajo, K.
    Shimoji, K.
    Takahashi, W.
    THAI JOURNAL OF MATHEMATICS, 2009, 7 (01): : 49 - 67
  • [27] A note on "Convergence of a Halpern-type iteration algorithm for a class of pseudo-contractive mappings"
    Su, Yongfu
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 70 (07) : 2519 - 2520
  • [28] Convergence theorems for a finite family of generalized nonexpansive multivalued mappings in CAT(0) spaces
    Abkar, Ali
    Eslamian, Mohammad
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) : 1895 - 1903
  • [29] S-Iteration Process of Halpern-Type for Common Solutions of Nonexpansive Mappings and Monotone Variational Inequalities
    Sahu, D. R.
    Kumar, Ajeet
    Wen, Ching-Feng
    FILOMAT, 2019, 33 (06) : 1727 - 1746
  • [30] A MODIFIED HALPERN-TYPE ITERATION ALGORITHM FOR QUASI-φ-ASYMPTOTICALLY NONEXPANSIVE MAPPINGS AND APPLICATIONS
    Tang, Yong Kun
    Chang, Shih-sen
    Wang, Lin
    Zhao, Y. H.
    Chan, Chi Kin
    MATHEMATICA SLOVACA, 2014, 64 (01) : 175 - 186
12345