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

页码：183 / 197

页数：15

共 50 条

[41] THIANWAN'S ITERATION PROCEDURE FOR NONEXPANSIVE MAPPINGS IN CAT(0) SPACES
Ritika
Rathee, Savita
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2014, 7 (01)
[42] Strong Convergence of Modified Halpern Iterations in CAT(0) Spaces
A Cuntavepanit
B Panyanak
Fixed Point Theory and Applications, 2011
[43] Relaxed Halpern-type iteration method for countable families of totally quasi-ϕ-asymptotically nonexpansive mappings
Wei-Qi Deng
Journal of Inequalities and Applications, 2013
[44] Relaxed Halpern-type iteration method for countable families of totally quasi-φ-asymptotically nonexpansive mappings
Deng, Wei-Qi
JOURNAL OF INEQUALITIES AND APPLICATIONS, 2013,
[45] A STRONG CONVERGENCE THEOREM UNDER HALPERN'S ITERATION FOR RELATIVELY NONEXPANSIVE MAPPINGS IN A BANACH SPACE
Takahashi, Wataru
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2021, 22 (01) : 1 - 17
[46] Strong and Δ-convergence theorems for two asymptotically nonexpansive mappings in the intermediate sense in CAT(0) spaces
Saluja, Gurucharan S.
Postolache, Mihai
FIXED POINT THEORY AND APPLICATIONS, 2015, : 1 - 15
[47] Strong convergence of an implicit iteration process for a finite family of nonexpansive mappings
Chidume, CE
Shahzad, N
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 62 (06) : 1149 - 1156
[48] A STRONG CONVERGENCE THEOREM UNDER HALPERN'S ITERATION FOR GENERALIZED NONEXPANSIVE MAPPINGS IN A BANACH SPACE
Hojo, Mayumi
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2022, 23 (02) : 377 - 395
[49] Halpern's Iteration in CAT(0) Spaces
Saejung, Satit
FIXED POINT THEORY AND APPLICATIONS, 2010,
[50] Halpern-type proximal point algorithm in complete CAT(0) metric spaces
Heydari, Mohammad Taghi
Ranjbar, Sajad
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2016, 24 (03): : 141 - 159

← 1 2 3 4 5 →