Title of article
Derivatives of generalized farthest functions and existence of generalized farthest points ✩
Author/Authors
Renxing Ni، نويسنده ,
Issue Information
دوهفته نامه با شماره پیاپی سال 2006
Pages
10
From page
642
To page
651
Abstract
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 1 or −1 implies the existence of generalized farthest points. New characterization theorems of
(compact) locally uniformly convex sets are given.
2005 Elsevier Inc. All rights reserved
Keywords
Directional derivatives of generalized farthest functions , Existence of generalized farthest points , (Compact) Locally uniformly convex
Journal title
Journal of Mathematical Analysis and Applications
Serial Year
2006
Journal title
Journal of Mathematical Analysis and Applications
Record number
934429
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