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Lagrangian Duality for Minimization of Nonconvex Multifunctions
Authors:Song  W
Institution:(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.
Keywords:Nearly convexlike functions  * quasiconvex functions  multifunctions  duality  vector optimization
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