摘要
在已有文献基础上继续讨论强G-预不变凸函数。首先用另外的例子来说明强G-预不变凸函数的存在性;然后给出了在上、下半连续性条件下f是强G-预不变凸函数的两个充要条件,借助于函数f的上图E(f),讨论了强G-预不变凸函数的一个刻画及强G-预不变凸函数簇的上确界性质;最后还获得了强G-预不变凸函数分别在两类数学规划问题中的应用,推广了已有文献的结果。
In this paper, strongly G-preinvex function is further studied. Firstly, another example has been given to show its existence. Then, we give two necessary and sufficient conditions of strongly G-preinvex function under the condition of semicontinuity. By using the epigraph E＇ （f）, we also give a characterization and a property of strongly G-preinvex function respec- tively. Finally, by using strong G-preinvexity, important applications for two classes of mathematical programming problems are given. Our results extend and improve the exist ones in the literature.
出处
《重庆师范大学学报（自然科学版）》
CAS
北大核心
2012年第4期12-17,共6页
Journal of Chongqing Normal University:Natural Science
基金
国家青年基金(No.11001287)
重庆市科委研究项目(No.CSTC2011AC6104
No.2010BB9254)
重庆市教委资助课题(No.KJ120401)
