集值映射的广义凸性以及在多目标最优化中的应用

Generalized Convex Properties of Set_Valued Mapping andTheir Applications in Multiobjective Optimization

讨论了集值映射的切导数与广义凸之间的关系。应用这些性质和概念，在适当条件下证明了扰动映射的广义凸性。

The relationship between tangent derivative and generalized corvex of set_valued mapping is dealt with in this paper.Then these properties and concepts are applied to optimization problems.Generalized convex properties of perturbation mapping is proved under certain conditims.