弧连通锥凸向量优化问题强有效解的最优性条件  

Optimality Conditions of Strongly Efficient Solutions for Vector-valued Optimization Problem of Arcwise Connected Cone-convexity

作　　者：徐义红[1] 宋效帅[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《南昌大学学报（工科版）》2010年第1期28-31,共4页Journal of Nanchang University(Engineering & Technology)

基　　金：国家自然科学基金资助项目(10461007);江西省教育厅科技项目(GJJ09069)

摘　　要：当目标函数和约束函数都是弧连通锥凸时,借助方向导数,利用择一性定理给出了约束向量优化问题取得强有效解的必要条件。利用强有效点的标量化定理给出了向量优化问题取得强有效解的Kuhn-Tucker最优性充分条件。When both the objective function and constrained function are arcwise connected cone-convex functions,with directional derivative and alternative theorem,the necessary conditions are given for constrained vector-valued optimization problem and its strongly efficient solutions are obtained.By using scalarization theorem for the strongly efficient point,the Kuhn-Tucker sufficient optimality condition is obtained for vector-valued optimization problem to get its strongly efficient solutions.

关 键 词：强有效性 弧连通锥凸 向量优化 

分 类 号：O224[理学—运筹学与控制论]