局部(Hp,r,α)-预不变凸函数及其性质

Locally-Preinvex Function and Its Properties

该文引进一类覆盖范围更为广泛的广义凸性概念(局部Hp-不变凸集,局部(Hp,r,α)-不变凸函数,局部(Hp,r,α)-拟凸),并讨论了这些凸性之间的相互关系.

This paper introduces new types of generalized convex functions and sets which are called locally （ Hp, r, α ） - preinvex functions and locally Hp -invex sets, respectively. Some properties of these new classes of functions and sets are established.