Necessary and Sufficient Optimality Conditions for Non-regular Problems

被引：0

作者：

Vivanco-Orellana, V. ^{[1
]}

Osuna-Gomez, R. ^{[2
]}

Rojas-Medar, M. A. ^{[3
,4
]}

机构：

[1] Univ Catolica Santisima Concepcion, Dept Matemat & Fis Aplicadas, Concepcion, Chile

[2] Univ Seville, Fac Matemat, Dept Estadist Invest Operat, Seville, Spain

[3] Univ Tarapaca, Dept Matemat, Arica, Chile

[4] Univ Tarapaca, Dept Matemat, Casilla 7D, Arica, Chile

来源：

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION | 2023年 / 44卷 / 12期

关键词：

Dubovitskii-Milyutin formalism; necessary and sufficient optimality conditions; non-regular optimization problem; tangent and feasible cones of second-order; EXTREMUM PROBLEMS;

D O I：

10.1080/01630563.2023.2235614

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We derive new necessary and sufficient optimality conditions for optimization problems with multi-equality and inequality constraints through the Dubovitskii-Milyutin formalism, characterizing the feasible and tangent directions cones in a neighborhood of a non-regular point. We also establish conditions of 2-regularity under which necessary optimality conditions are non-degenerate. These conditions apply when the phenomenon of non-regularity (or abnormality) take place. In addition examples that illustrate our results are presented.

引用

页码：1228 / 1250

页数：23

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