集值优化问题超有效元的导数型最优性条件

On the derivative optimality conditions of super efficiency in set-valued optimization

借助修正的Dubovitskij-Miljutin切锥和集值函数在这种切锥下定义的切导数,讨论了集值优化问题在超有效元意义下的Fritz John必要条件,当目标函数为严格伪凸集值映射、约束函数为弱伪凸集值映射时,得到了超有效元意义下的Kuhn-Tucker充分条件.

This paper gives a new definition of a derivative of set-valued functions in terms of Dubovitskij-Miljutin cone.Fritz John necessary conditions for the set-valued optimization problem to attain its super efficient solutions are obtained by using the derivative.Under those assumption of convexity of new kind sufficient conditions for the set-valued optimization problem its super efficient solutions are obtained.