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：

暂无

中图分类号：

学科分类号：

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

页码：519 / 529

页数：10

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