Firmly Nonexpansive and Kirszbraun-Valentine Extensions: A Constructive Approach Via Monotone Operator Theory

被引：0

作者：

Bauschke, Heinz H. ^{[1
]}

Wang, Xianfu ^{[1
]}

机构：

[1] Univ British Columbia Okanagan, Irving K Barber Sch, Kelowna, BC V1V 1V7, Canada

来源：

NONLINEAR ANALYSIS AND OPTIMIZATION I: NONLINEAR ANALYSIS | 2010年 / 513卷

关键词：

Extension of a monotone operator; firmly nonexpansive mapping; Kirszbraun-Valentine extension theorem; nonexpansive mapping; proximal average; FITZPATRICK FUNCTIONS; FENCHEL DUALITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Utilizing our recent proximal-average based results on the constructive extension of monotone operators, we provide a novel approach to the celebrated Kirszbraun-Valentine Theorem and to the extension of firmly nonexpansive mappings.

引用

页码：55 / 64

页数：10

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