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 withC-convexlike criterion,Cbeing 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.
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