The Asymptotic Behavior of the Composition of Firmly Nonexpansive Mappings

被引：1
|
作者：
David Ariza-Ruiz
Genaro López-Acedo
Adriana Nicolae
机构：
[1] Universidad de Sevilla,Departamento de Análisis Matemático
[2] Babeş-Bolyai University,Department of Mathematics
[3] Simion Stoilow Institute of Mathematics of the Romanian Academy,undefined
[4] Research group of the project PD-3-0152,undefined
来源：
Journal of Optimization Theory and Applications | 2015年 / 167卷
关键词：
Firmly nonexpansive mapping; Convex optimization; Convex feasibility problem; -Uniformly convex geodesic space; CAT; space; 47H09; 49M27; 53C23;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we provide, in the setting of geodesic spaces, a unified treatment of some convex minimization problems, which allows for a better understanding and, in some cases, improvement of results proved recently in this direction. For this purpose, we analyze the asymptotic behavior of compositions of finitely many firmly nonexpansive mappings focusing on asymptotic regularity and convergence results.
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页码：409 / 429
页数：20
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