Approximate Proper Efficiency for Multiobjective Optimization Problems

被引：0

作者：

Gao, Ying ^{[1
]}

Xu, Zhihui ^{[1
]}

机构：

[1] Chongqing Normal Univ, Sch Math Sci, Chongqing 401331, Peoples R China

来源：

FILOMAT | 2019年 / 33卷 / 18期

基金：

美国国家科学基金会;

关键词：

Multiobjective optimization problems; Proximal normal cone; Approximate properly efficiency; Linear scalarizations; OPTIMALITY CONDITIONS; SCALARIZATION; MINIMIZATION; POINTS;

D O I：

10.2298/FIL1918091G

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is devoted to the study of a new kind of approximate proper efficiency in terms of proximal normal cone and co-radiant set for multiobjective optimization problem. We derive some properties of the new approximate proper efficiency and discuss the relations with the existing approximate concepts, such as approximate efficiency and approximate Benson proper efficiency. At last, we study the linear scalarizations for the new approximate proper efficiency under the generalized convexity assumption and give some examples to illustrate the main results.

引用

页码：6091 / 6101

页数：11

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