A Kind of Unified Proper Efficiency in Vector Optimization

被引：1

作者：

Zhao, Ke Quan ^{[1
]}

Xia, Yuan Mei ^{[1
]}

机构：

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

来源：

ABSTRACT AND APPLIED ANALYSIS | 2014年

基金：

中国国家自然科学基金;

关键词：

OPTIMALITY CONDITIONS; APPROXIMATE SOLUTIONS;

D O I：

10.1155/2014/636907

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on the ideas of the classical Benson proper efficiency, a new kind of unified proper efficiency named S-Benson proper efficiency is introduced by using Assumption (B) proposed by Flores-Bazan and Hernandez, which unifies some known exact and approximate proper efficiency including (C,epsilon)-proper efficiency and E-Benson proper efficiency in vector optimization. Furthermore, a characterization of S-Benson proper efficiency is established via a kind of nonlinear scalarization functions introduced by Gopfert et al.

引用

页数：5

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