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

被引：45
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：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 02期
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：
In this paper, it is proved that the sequence defined by Mann's algorithm Delta-converges to a fixed point in complete CAT(kappa) spaces. (C) 2011 Elsevier Ltd. All rights reserved.
引用
收藏
页码：445 / 452
页数：8
相关论文
共 17 条
[1]  
[Anonymous], 1999, METRIC SPACES NONPOS
[2]   On Δ-convergence theorems in CAT(0) spaces [J].
Dhompongsa, S. ;
Panyanak, B. .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2008, 56 (10) :2572-2579
[3]   CAT(k)-spaces, weak convergence and fixed points [J].
Espinola, Rafa ;
Fernandez-Leon, Aurora .
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 [J].
ISHIKAWA, S .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1976, 59 (01) :65-71
[7]   A concept of convergence in geodesic spaces [J].
Kirk, W. A. ;
Panyanak, B. .
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
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