Characterizations of evenly convex sets and evenly quasiconvex functions

被引：32
|
作者：
Daniilidis, A
Martinez-Legaz, JE [1 ]
机构：
[1] Univ Autonoma Barcelona, CODE, Bellaterra 08193, Spain
[2] Univ Autonoma Barcelona, Dept Econ & Hist Econ, Bellaterra 08193, Spain
[3] INRIA, F-38334 St Ismier, France
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2002年 / 273卷 / 01期
关键词：
D O I：
10.1016/S0022-247X(02)00206-8
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to present a geometric characterization of even convexity in separable Banach spaces, which is not expressed in terms of dual functionals or separation theorems. As an application, an analytic equivalent definition for the class of evenly quasiconvex functions is derived. (C) 2002 Elsevier Science (USA). All rights reserved.
引用
收藏
页码：58 / 66
页数：9
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