摘要
基于I类凸函数和F凸函数,首次引入了Fε-I类凸、拟Fε-I类凸、伪Fε-I类等新广义凸性概念,研究涉及这类函数的一类半无限规划的最优性,得到一些最优性的充分条件,这些结果推广了现有某些结果,为解决某些实际问题提供了依据,也为理论上研究半无限规划提供了参考.
A class of generalized convex functions called type Fε-I convexity ,pseudo type Fε-I convexity and quasi type Fε-I convexity is defined by relaxing the definitions of type I con-vex function and F convex function .In the framework of these generalized convex function , a class of semi-infinite programming is considered ,several sufficient optimality conditions are established .The results obtained not only extended several present researches ,but also can be apply to some practical problem .Theoretically ,they are helpful to studying semi-in-finite programming .
出处
《陕西科技大学学报（自然科学版）》
2014年第1期165-168,共4页
Journal of Shaanxi University of Science & Technology
基金
陕西省教育厅自然科学基金项目(11JK0488)
陕西科技大学自然科学基金项目(2012SB013)
关键词
Fε-I类凸
拟Fε-I类凸
伪Fε-I类凸
最优性
半无限规划
type Fε-I convexity
pseudo typeFε-I convexity
quasi typeFε-I convexity
opti-mality
semi-infinite programming
