A Kind of Unified Proper Efficiency in Vector Optimization

Ke Quan Zhao and Yuan Mei Xia

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: 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.

Date: 2014
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https://doi.org/10.1155/2014/636907

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:636907

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