Optimality conditions for multiobjecttve and nonsmooth minimisation in abstract spaces
Luis Coladas Uría, Ziyi Li, Shouyang Wang · Bulletin of the Australian Mathematical Society · 1994
In this paper we study optimality conditions for an efficient solution in various senses of a general multiobjective optimisation problem in abstract spaces. We utilise properties of the Clarke's generalised differential and properties of a conesubconvexlike function to derive a few necessary and/or sufficient conditions for a feasible solution to be a weak minimum (a minimum, a strong minimum or a proper minimum) of the vector optimisation problem. The results in this paper are extensions and refinements of some known results in vector optimisation.