Mann's algorithm for nonexpansive mappings in CAT(κ) spaces

被引：44

作者：

He, J. S. ^{[1
]}

Fang, D. H. ^{[2
]}

Lopez, G. ^{[3
]}

Li, C. ^{[4
,5
]}

机构：

[1] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Peoples R China

[2] Jishou Univ, Coll Math & Comp Sci, Jishou 416000, Peoples R China

[3] Univ Seville, Dept Math Anal, E-41080 Seville, Spain

[4] Zhejiang Univ, Dept Math, Hangzhou 310027, Peoples R China

[5] King Saud Univ, Dept Math, Coll Sci, Riyadh 11451, Saudi Arabia

来源：

基金：

中国国家自然科学基金;

关键词：

CAT(kappa) spaces; Nonexpansive mapping; Mann's iteration; Delta-convergence; CONVERGENCE THEOREMS; ITERATIVE ALGORITHMS; WEAK-CONVERGENCE;

D O I：

10.1016/j.na.2011.07.070

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

引用

页码：445 / 452

页数：8

共 17 条

[1] [Anonymous], 1999, METRIC SPACES NONPOS
[2] On Δ-convergence theorems in CAT(0) spaces
Dhompongsa, S.
Panyanak, B.
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (10) : 2572 - 2579
[3] CAT(k)-spaces, weak convergence and fixed points
Espinola, Rafa
Fernandez-Leon, Aurora
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2009, 353 (01) : 410 - 427
[4] GOEBEL K, 1984, PURE APPL MATH SERIE, V83
[5] Goebel K., 1983, CONTEMP MATH-SINGAP, V21, P115, DOI DOI 10.1090/CONM/021/729507
[6] FIXED-POINTS AND ITERATION OF A NONEXPANSIVE MAPPING IN A BANACH-SPACE
ISHIKAWA, S
[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 59 (01) : 65 - 71
[7] A concept of convergence in geodesic spaces
Kirk, W. A.
Panyanak, B.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2008, 68 (12) : 3689 - 3696
[8] Kirk W.A., 2003, SEMINAR MATH ANAL, P195
[9] Kirk W.A., 2004, International Conference on Fixed Point Theo. Appl, P113
[10] KIRK WA, 1981, NUMER FUNC ANAL OPT, V4, P371