A Kind of Unified Proper Efficiency in Vector Optimization

Abstract EN

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.