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

被引：43
|
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.
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页码：445 / 452
页数：8
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