Open Access
2014 A Kind of Unified Proper Efficiency in Vector Optimization
Ke Quan Zhao, Yuan Mei Xia
Abstr. Appl. Anal. 2014(SI71): 1-5 (2014). DOI: 10.1155/2014/636907


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-Bazán and Hernández, which unifies some known exact and approximate proper efficiency including ( C , ε ) -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 Göpfert et al.


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Ke Quan Zhao. Yuan Mei Xia. "A Kind of Unified Proper Efficiency in Vector Optimization." Abstr. Appl. Anal. 2014 (SI71) 1 - 5, 2014.


Published: 2014
First available in Project Euclid: 6 October 2014

zbMATH: 07022796
MathSciNet: MR3206807
Digital Object Identifier: 10.1155/2014/636907

Rights: Copyright © 2014 Hindawi

Vol.2014 • No. SI71 • 2014
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