|Title: ||Second-order optimality conditions using approximations for nonsmooth vector optimization problems under inclusion constraints
||Author(s): ||Khanh P.Q.
||Keywords: ||Asymptotic p-compactness; First and second-order approximations; Inclusion constraints; Nonsmooth vector optimization; Second-order optimality conditions
||Abstract: ||Second-order necessary conditions and sufficient conditions for optimality in nonsmooth vector optimization problems with inclusion constraints are established. We use approximations as generalized derivatives and avoid even continuity assumptions. Convexity conditions are not imposed explicitly. Not all approximations in use are required to be bounded. The results improve or include several recent existing ones. Examples are provided to show that our theorems are easily applied in situations where several known results do not work.
||Issue Date: ||2011
||Publisher: ||Elsevier Ltd.
||Series/Report no.: ||Vol. 74, Issue 13
|Appears in Collections:||INTERNATIONAL PUBLICATIONS|