∈-STRICTLY EFFICIENT SOLUTIONS OF VECTOR OPTIMIZATION PROBLEMS WITH SET-VALUED MAPS.

In this paper, the notion of ϵ-strictly efficient solution for vector optimization with set-valued maps is introduced. Under the assumption of the ic-cone-convexlikeness for set-valued maps, the scalarization theorem, ϵ-Lagrangian multiplier theorem, ϵ-saddle point theorems and ϵ-duality assertions are established for ϵ-strictly efficient solution. [ABSTRACT FROM AUTHOR]