Characterization of Weakly Efficient Solutions for Non-Regular Multiobjective Programming Problems with Inequality-Type Constraints

被引：0

作者：

Hernandez-Jimenez, B. ^{[1
]}

Rojas-Medar, M. A. ^{[2
]}

Osuna-Gomez, R. ^{[3
]}

Rufian-Lizana, A. ^{[3
]}

机构：

[1] Univ Pablo Olavide, Dept Econ Met Cuantitat & Ha Econ, Area Estad & Invest Operat, Seville 41013, Spain

[2] Univ Bio Bio, Dept Ciencias Basicas, Fac Ciencias, Chillan A, Chile

[3] Univ Seville, Dept Estad Invest & Operat, E-41012 Seville, Spain

来源：

JOURNAL OF CONVEX ANALYSIS | 2011年 / 18卷 / 03期

关键词：

Convexity; regularity; constraints qualifications; optimality conditions; GENERALIZED CONVEXITY; OPTIMIZATION; OPTIMALITY; DUALITY;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Necessary conditions of optimality are presented for weakly efficient solutions to multiobjective minimization problems with inequality-type constraints. These conditions are applied when the constraints do not necessarily satisfy any regularity assumptions and they are based on the concept of 2-regularity introduced by Izmailov. In general, the optimality conditions do not provide the complete weak Pareto optimal set, so 2-KKT-pseudoinvex problems are defined. This new concept of generalized convexity is both necessary and sufficient to guarantee the characterization of all weakly efficient solutions based on the optimality conditions and it is the weakest one.

引用

页码：749 / 768

页数：20

共 20 条

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