Second-Order Optimality Conditions in Locally Lipschitz Inequality-Constrained Multiobjective Optimization

被引：9

作者：

Constantin, Elena ^{[1
]}

机构：

[1] Univ Pittsburgh Johnstown, Johnstown, PA 15904 USA

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2020年 / 186卷 / 01期

关键词：

Nonsmooth multiobjective optimization; Karush-Kuhn-Tucker dual optimality conditions; Strict local Pareto minimum of order two; Second-order efficiency conditions; KUHN-TUCKER CONDITIONS; REGULARITY CONDITIONS; EFFICIENCY; WEAK;

D O I：

10.1007/s10957-020-01688-9

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：

The main goal of this paper is to give some primal and dual Karush-Kuhn-Tucker second-order necessary conditions for the existence of a strict local Pareto minimum of order two for an inequality-constrained multiobjective optimization problem. Dual Karush-Kuhn-Tucker second-order sufficient conditions are provided too. We suppose that the objective function and the active inequality constraints are only locally Lipschitz in the primal necessary conditions and only strictly differentiable in sense of Clarke at the extremum point in the dual conditions. Examples illustrate the applicability of the obtained results.

引用

页码：50 / 67

页数：18

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