E-PROPER SADDLE POINTS AND E-PROPER DUALITY IN VECTOR OPTIMIZATION WITH SET-VALUED MAPS

摘要

In this paper, based on a kind of unified proper efficiency named as E-Benson proper efficiency, we present E-proper saddle points theorems and E-proper duality results including as weak duality and strong duality theorems of vector optimization problems with set-valued maps. Our main results unify and extend the cases of proper saddle points and proper duality as well as ε-proper saddle points and ε-proper duality.