Isolated and Proper Efficiencies in Semi-Infinite Vector Optimization Problems

被引：0
|
作者：
Thai Doan Chuong
Jen-Chih Yao
机构：
[1] Saigon University,Department of Mathematics & Applications
[2] Kaohsiung Medical University,Center for Fundamental Science
[3] King Abdulaziz University,Department of Mathematics
来源：
Journal of Optimization Theory and Applications | 2014年 / 162卷
关键词：
Necessary/sufficient condition; Duality; Positively properly efficient solution; Generalized convex function; Semi-infinite optimization;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
This paper deals with a nonsmooth semi-infinite multiobjective/vector optimization problem (SIMOP, for short). We first establish necessary and sufficient conditions for (local) strongly isolated solutions and (local) positively properly efficient solutions of an SIMOP. Then, we propose a dual problem to the SIMOP under consideration and examine weak and strong duality relations between them.
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页码：447 / 462
页数：15
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