Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings
Fenchel duality, Fitzpatrick functions and the extension of firmly nonexpansive mappings
复制标题
Fenchel 对偶性、Fitzpatrick 函数和严格非扩张映射的扩展
DOI：
10.1090/s0002-9939-06-08770-3
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
Heinz H. Bauschke
中科院分区：
文献类型：
--
作者：
Heinz H. Bauschke
最近，S.赖希和S.西蒙斯利用Fenchel对偶和菲茨帕特里克函数对Kirszbraun-Valentine扩张定理进行了新的证明。在同样的精神，我们提供了一个新的证明的推广结果的坚定非扩张映射的最佳局部化范围。
Recently, S. Reich and S. Simons provided a novel proof of the Kirszbraun-Valentine extension theorem using Fenchel duality and Fitzpatrick functions. In the same spirit, we provide a new proof of an extension result for firmly nonexpansive mappings with an optimally localized range.