广义切锥与(h,φ)-广义切锥

Generalized Contingent Cone and (h,φ)-generalized Contingent Cone

讨论了普通代数运算下广义切锥与Ben-Tal代数运算下(h,φ)-广义切锥的相关关系,获得了(h,φ)-广义切锥的性质,得到了(h,φ)-凸函数的一种刻画.

In this paper,the relationships between generalized contingent cone and（h,φ）-generalized contingent cone are discussed.They are defined under common operation and Ben-Tal operation respectively,properties of h-generalized contingent cone and（h,φ）-generalized contingent cone are obtained,a characterization of（h,φ）-convex function class is presented.