| In this thesis,optimality conditions of efficient solution and weakly efficient solution about some vector optimization are discussed。Firstly,for some vector optimization problems,B- preinvex function is established on the n dimension Euclid space,and obtains Kuhn-Tunker sufficient optimality conditions;Secondly,for some vector optimization problems without constraint qualifications and Kuhn-Tucker conditions, optimality conditions are obtained having inequality group;Thirdly,we transform vector optimization into nonlinear programming, solve this nonlinear programming and obtain first order and second order optimality conditions of vector optimization ;Lastly,the concept of G- variations function is defined,and a newlyηconvex mapping is established on the real linear space,and obtains generalized Karush-Kuhn-Tuncker sufficient optimality condition. |
