Abstract :
In this paper, we present properties, characterizations by scalarization, and a
multiplier rule for super infima. We complete this work by giving duality results for
such points. The results are established for a vector optimization problem with
C-convexlike criterion, C being a cone. The definition of a super infimum is based
on the definition of a super efficient solution, given by Borwein and Zhuang in
1993 and on the upper closure of a set.
