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A Kind of Unified Proper Efficiency in Vector Optimization

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  • Ke Quan Zhao
  • Yuan Mei Xia

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.

Suggested Citation

  • Ke Quan Zhao & Yuan Mei Xia, 2014. "A Kind of Unified Proper Efficiency in Vector Optimization," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:636907
    DOI: 10.1155/2014/636907
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    References listed on IDEAS

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    1. G. Y. Chen & W. D. Rong, 1998. "Characterizations of the Benson Proper Efficiency for Nonconvex Vector Optimization," Journal of Optimization Theory and Applications, Springer, vol. 98(2), pages 365-384, August.
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