SCALARIZATIONS AND LAGRANGE MULTIPLIERS FOR APPROXIMATE SOLUTIONS IN THE VECTOR OPTIMIZATION PROBLEMS WITH SET-VALUED MAPS

被引：9
|
作者：
Gao, Ying [1 ]
Yang, Xinmin [1 ]
Yang, Jin [2 ]
Yan, Hong [3 ]
机构：
[1] Chongqing Normal Univ, Dept Math, Chongqing 400047, Peoples R China
[2] Hong Kong Polytech Univ, Dept Appl Math, Hong Kong, Hong Kong, Peoples R China
[3] Hong Kong Polytech Univ, Dept Logist & Maritime Studies, Hong Kong, Hong Kong, Peoples R China
来源：
JOURNAL OF INDUSTRIAL AND MANAGEMENT OPTIMIZATION | 2015年 / 11卷 / 02期
基金：
美国国家科学基金会;
关键词：
Set-valued maps; vector optimization problems; approximate solutions; generalized subconvexlike; scalarizations; Lagrange multiplier theorems; EKELANDS VARIATIONAL PRINCIPLE; BENSON PROPER EFFICIENCY; OPTIMALITY CONDITIONS; SADDLE-POINTS; THEOREMS;
D O I：
10.3934/jimo.2015.11.673
中图分类号：
T [工业技术];
学科分类号：
08 ;
摘要：
In this paper, we characterize approximate solutions of vector optimization problems with set-valued maps. We gives several characterizations of generalized subconvexlike set-valued functions(see [10), which is a generalization of nearly subconvexlike functions introduced in [34]. We present alternative theorem and derived scalarization theorems for approximate solutions with generalized subconvexlike set-valued maps. And then, Lagrange multiplier theorems under generalized Slater constraint qualification are established.
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页码：673 / 683
页数：11
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