Duality in multiobjective optimization problems with set constraints

被引：2

作者：

Cambini, R ^{[1
]}

Carosi, L ^{[1
]}

机构：

[1] Univ Pisa, Dept Appl Math & Stat, Pisa, Italy

来源：

GENERALIZED CONVEXITY, GENERALIZED MONOTONICITY AND APPLICATIONS | 2005年 / 77卷

关键词：

vector optimization; duality; maximum principle conditions; generalized convexity; set constraints;

D O I：

10.1007/0-387-23639-2_7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We propose four different duality problems for a vector optimization program with a set constraint, equality and inequality constraints. For all dual problems we state weak and strong duality theorems based on different generalized concavity assumptions. The proposed dual problems provide a unified framework generalizing Wolfe and Mond-Weir results.

引用

页码：131 / +

页数：5

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