Lagrange Multipliers for ε-Pareto Solutions in Vector Optimization with Nonsolid Cones in Banach Spaces

被引：51

作者：

Durea, M. ^{[3
]}

Dutta, J. ^{[2
]}

Tammer, C. ^{[1
]}

机构：

[1] Univ Halle Wittenberg, Inst Math, D-06099 Halle, Saale, Germany

[2] Indian Inst Technol, Dept Math & Stat, Kanpur 208016, Uttar Pradesh, India

[3] Alexandru Ioan Cuza Univ, Fac Math, Iasi 700506, Romania

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2010年 / 145卷 / 01期

关键词：

Lagrange multipliers; Mordukhovich subdifferential; Proximal subdifferential; Constrained and unconstrained vector optimization; OPTIMALITY;

D O I：

10.1007/s10957-009-9609-1

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：

This paper presents some results concerning the existence of the Lagrange multipliers for vector optimization problems in the case where the ordering cone in the codomain has an empty interior. The main tool for deriving our assertions is a scalarization by means of a functional introduced by Hiriart-Urruty (Math. Oper. Res. 4:79-97, 1979) (the so-called oriented distance function). Moreover, we explain some applications of our results to a vector equilibrium problem, to a vector control-approximation problem and to an unconstrainted vector fractional programming problem.

引用

页码：196 / 211

页数：16

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