Hartley Proper Efficiency in Multifunction Optimization

Authors: Do Sang Kim, Gue Myung Lee, Phạm Hữu Sách,

https://doi.org/10.1023/B:JOTA.0000012736.02360.58

Publisher, magazine: ,

Publication year: 2004

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Abstract

Summary: This paper gives a necessary condition for the Hartley proper efficiency in a vector optimization problem whose objectives and constraints are described by multifunctions \(F\) and \(G\). This condition is established under a quasiconvexity requirement of the support functions of \(F\) and \(G\) or the generalized cone-convexity of a multifunction constructed from \(F\) and \(G\).

Tags: Proper efficiency; vector optimization; multifunctions; scalarizations