Derivatives of generalized farthest functions and existence of generalized farthest points

被引：3

作者：

Ni, RX ^{[1
]}

机构：

[1] Shaoxing Coll Arts & Sci, Dept Math, Zhengzhou 312000, Peoples R China

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2006年 / 316卷 / 02期

关键词：

directional derivatives of generalized farthest functions; existence of generalized farthest points; (compact) locally unifornily convex;

D O I：

10.1016/j.jmaa.2005.05.005

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The relationship between directional derivatives of generalized farthest functions and the existence of generalized farthest points in Banach spaces is investigated. It is proved that the generalized farthest function generated by a bounded closed set having a one-sided directional derivative equal to I or -1 implies the existence of generalized farthest points. New characterization theorems of (compact) locally uniformly convex sets are given. (c) 2005 Elsevier Inc. All rights reserved.

引用

页码：642 / 651

页数：10

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