Strong Convergence of Browder's Type Iterations in CAT(κ) Spaces

被引：0

作者：

Yotkaew, Pongsakorn ^{[1
]}

机构：

[1] Khon Kaen Univ, Fac Sci, Dept Math, Khon Kaen 40002, Thailand

来源：

THAI JOURNAL OF MATHEMATICS | 2020年 / 18卷 / 04期

关键词：

Browder's type iteration; Moudafi's viscosity; CAT(kappa) space; fixed point; nonexpansive; PROXIMAL POINT ALGORITHMS; NONEXPANSIVE-MAPPINGS; HALPERN ITERATION; GEODESIC SPACE; THEOREMS;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to present an existence and convergence theorem for a nonexpansive mapping on a complete geodesic space with curvature bounded above. A strong convergence theorem for Browder's type iterations of a nonexpansive mapping is derived. Moudafi's viscosity type methods with a spherical contraction are also discussed.

引用

页码：1895 / 1906

页数：12

共 50 条

[1] Strong convergence of Browder’s and Halpern’s type iterations in Hilbert spaces
Kanokwan Wongchan
Satit Saejung
[J]. Positivity, 2018, 22 : 969 - 982
[2] Strong convergence of Browder's and Halpern's type iterations in Hilbert spaces
Wongchan, Kanokwan
Saejung, Satit
[J]. POSITIVITY, 2018, 22 (04) : 969 - 982
[3] Strong convergence of Browder’s type iterations for left amenable semigroups of Lipschitzian mappings in Banach spaces
Shahram Saeidi
[J]. Journal of Fixed Point Theory and Applications, 2009, 5 : 93 - 103
[4] Strong convergence of Browder's type iterations for left amenable semigroups of Lipschitzian mappings in Banach spaces
Saeidi, Shahram
[J]. JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2009, 5 (01) : 93 - 103
[5] Strong Convergence of Modified Halpern Iterations in CAT(0) Spaces
Cuntavepanit, A.
Panyanak, B.
[J]. FIXED POINT THEORY AND APPLICATIONS, 2011,
[6] Strong Convergence of Modified Halpern Iterations in CAT(0) Spaces
A Cuntavepanit
B Panyanak
[J]. Fixed Point Theory and Applications, 2011
[7] Browder's type strong convergence theorems for infinite families of nonexpansive mappings in Banach spaces
Suzuki, Tomonari
[J]. FIXED POINT THEORY AND APPLICATIONS, 2006, 2006 (1)
[8] Browder's type strong convergence theorems for infinite families of nonexpansive mappings in Banach spaces
Tomonari Suzuki
[J]. Fixed Point Theory and Applications, 2006
[9] THE Δ-CONVERGENCE OF ITERATIONS FOR NONEXPANSIVE MAPPINGS IN CAT(κ) SPACES
Huang, Shuechin
[J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2012, 13 (03) : 541 - 554
[10] Strong convergence of Mann's-type iterations for nonexpansive semigroups in general Banach spaces
Atsushiba, S
Takahashi, W
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2005, 61 (06) : 881 - 899

← 1 2 3 4 5 →