The Mann algorithm in a complete geodesic space with curvature bounded above

作     者：Kimura, Yasunori Saejung, Satit Yotkaew, Pongsakorn 

作者机构：Toho Univ Dept Informat Sci Funabashi Chiba 2748510 Japan Khon Kaen Univ Fac Sci Dept Math Khon Kaen 40002 Thailand CHE Ctr Excellence Math Bangkok 10400 Thailand 

出 版 物：《FIXED POINT THEORY AND APPLICATIONS》 (Fixed Point Theory Appl.)

年 卷 期：2013年第2013卷第1期

页      面：1-13页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：Japan Society for the Promotion of Science Centre of Excellence in Mathematics, the Commission on Higher Education of Thailand Thailand Research Fund through the Royal Golden Jubilee Ph.D. Program [PHD/0188/2552] Khon Kaen University under the RGJ-Ph.D. scholarship Grants-in-Aid for Scientific Research Funding Source: KAKEN 

主　　题：CAT(kappa) space fixed point Mann algorithm nonexpansive mapping quasi-nonexpansive mapping Delta-convergence 

摘      要：The purpose of this paper is to prove two Delta-convergence theorems of the Mann algorithm to a common fixed point for a countable family of mappings in the case of a complete geodesic space with curvature bounded above by a positive number. The first one for nonexpansive mappings improves the recent result of He et al. (Nonlinear Anal. 75: 445-452, 2012). The last one is proved for quasi-nonexpansive mappings and applied to the problem of finding a common fixed point of a countable family of quasi-nonexpansive mappings.