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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.

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