Effective results on compositions of nonexpansive mappings

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• 作者：Lauren?iu Leu?tean ; Adriana Nicolae
• 关键词：Effective rates of asymptotic regularity ; Proof mining ; Families of nonexpansive mappings ; Halpern iteration ; Convex geodesic bicombing
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2014
• 出版时间：15 February, 2014
• 年：2014
• 卷：410
• 期：2
• 页码：902-907
• 全文大小：228 K

文摘

This paper provides uniform bounds on the asymptotic regularity for iterations associated to a finite family of nonexpansive mappings. We obtain our quantitative results in the setting of -convex spaces, a class of geodesic spaces which generalizes metric spaces with a convex geodesic bicombing.