超有效解的广义高阶最优性条件

A generalized higher-order optimality condition for super efficient solutions

在实赋范线性空间中考虑集值优化问题的超有效解。对于一个具体集合通过直接计算求得了它的超有效点集。在没有任何凸性假设下,借助于Henig扩张锥,给出了集值优化问题取得超有效解的广义高阶导数型的必要条件。

The super efficient solution of set-valued optimization is considered in real normed spaces.For a specific set,its super efficient points set is obtained by direct calculation.Without any convexity assumption,by employing Henig dilating cone,the generalized higher-order derivative necessary condition is established for set-valued optimization problem to attain its super efficient solutions.