Optimality conditions for vector optimisation with set-valued maps
Yongwei Huang · Bulletin of the Australian Mathematical Society · 2002
In this paper, we establish a Farkas-Minkowski type alternative theorem under the assumption of nearly semiconvexlike set-valued maps. Based on the alternative theorem and some other lemmas, we establish necessary optimality conditions for set-valued vector optimisation problems with extended inequality constraints in a sense of weak E-minimisers.