(1) Department of Mathematics, Harbin Normal University, Harbin, China;(2) Present address: Institute of Mathematics, Polish Academy of Sciences, Warsaw, Poland
Abstract:
Two alternative type theorems for nearly convexlike or * quasiconvex multifunctions are presented. They are used to derive Lagrangian conditions and duality results for vector optimization problems when the objectives and the constraints are nearly convexlike or * quasiconvex multifunctions.