Sufficient global optimality conditions for weakly convex minimization problems

被引：28
|
作者：
Wu, Z. Y. [1 ]
机构：
[1] Chongqing Normal Univ, Dept Math, Chongqing 400047, Peoples R China
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2007年 / 39卷 / 03期
基金：
澳大利亚研究理事会;
关键词：
global optimization; optimality conditions; weakly convex minimization;
D O I：
10.1007/s10898-007-9147-z
中图分类号：
C93 [管理学]; O22 [运筹学];
学科分类号：
070105 ; 12 ; 1201 ; 1202 ; 120202 ;
摘要：
In this paper, we present sufficient global optimality conditions for weakly convex minimization problems using abstract convex analysis theory. By introducing (L,X)-subdifferentials of weakly convex functions using a class of quadratic functions, we first obtain some sufficient conditions for global optimization problems with weakly convex objective functions and weakly convex inequality and equality constraints. Some sufficient optimality conditions for problems with additional box constraints and bivalent constraints are then derived.
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页码：427 / 440
页数：14
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