Second-order Kuhn-Tucker invex constrained problems

被引：1
|
作者：
Vsevolod I. Ivanov
机构：
[1] Technical University of Varna,Department of Mathematics
来源：
Journal of Global Optimization | 2011年 / 50卷
关键词：
Global optimization; Invexity; Second-order Kuhn-Tucker invex problems; Pseudoconvex problems; 90C30; 90C26; 26B25; 49K30; 49J52;
D O I：
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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.
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页码：519 / 529
页数：10
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