Convex-along-rays functions and star-shaped sets

被引：15
|
作者：
Rubinov, A
Vladimirov, A
机构：
[1] Univ Ballarat, Sch Informat Techol & Math Sci, Ballarat, Vic 3353, Australia
[2] Russian Acad Sci, Inst Informat Transmiss Problems, Moscow 101447, Russia
来源：
NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 1998年 / 19卷 / 5-6期
基金：
澳大利亚研究理事会;
关键词：
D O I：
10.1080/01630569808816848
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We study abstract convex functions with respect to the set of all abstract affine functions of the form x --> min(i=1,...,n+1)[l(i), x] - c. We describe large classes of abstract convex functions and give conditions guaranteeing subdifferentiability of these functions. Some applications to the study of problems of global optimization are discussed.
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页码：593 / 613
页数：21
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