摘要
主要研究了一类非光滑半无限规划问题,基于对称梯度,首次引入了Is类凸、拟Is类凸、伪Is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.
The purpose of this paper is to consider a class of nonsmooth semi-infinite programming prob-lem.Based on the concept of symmetric gradient,a new class of generalized convexity,named type Is con-vexity,pseudo type Is convexity and quasi type Is convexity has been defined.For such programming problem,several sufficient optimality conditions have been established and proved by utilizing the above functions.The results show not only extension of some of the present researches,but also the application of the questions occurring in resource allocation,stock cutting problem in paper industry,agricultural planning and portfolio selection etc.
出处
《西南师范大学学报（自然科学版）》
CAS
CSCD
北大核心
2014年第3期45-48,共4页
Journal of Southwest China Normal University(Natural Science Edition)
基金
陕西省教育厅自然科学基金资助项目(11JK0488)
陕西科技大学自然科学基金资助项目(2012SB013)
关键词
IS
类凸
拟Is
类凸
伪Is
类凸
最优性
半无限规划
type Is convexity
pseudo type Is convexity
quasi type Is convexity
optimality
semi-infinite programming
