Second-order Kuhn-Tucker invex constrained problems

被引：14
|
作者：
Ivanov, Vsevolod I. [1 ]
机构：
[1] Tech Univ Varna, Dept Math, Varna 9010, Bulgaria
来源：
JOURNAL OF GLOBAL OPTIMIZATION | 2011年 / 50卷 / 03期
关键词：
Global optimization; Invexity; Second-order Kuhn-Tucker invex problems; Pseudoconvex problems; GENERALIZED CONVEXITY; OPTIMALITY CONDITIONS; PROGRAMMING PROBLEMS; OPTIMIZATION;
D O I：
10.1007/s10898-010-9610-0
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：
A new notion of a second-order KT invex problem (P) with inequality constraints is introduced in this paper. This class of problems strictly includes the KT invex ones. Some properties of the second-order KT invex problems are presented. For example, (P) is second-order KT invex if and only if each point, which satisfies the second-order Kuhn-Tucker necessary optimality conditions, is a global minimizer. A problem with quasiconvex data is (second-order) KT invex if and only if it is (second-order) KT pseudoconvex.
引用
收藏
页码：519 / 529
页数：11
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