运筹学学报 ›› 2012, Vol. 16 ›› Issue (1): 49-55.

• 运筹学 • 上一篇    下一篇

拟半(E,F)}--凸函数及拟半(E,F)--凸规划的性质

 简金宝1, 胡庆娟1, 马鹏飞1, 黎健玲1   

  1. 1. 广西大学数学与信息科学学院,  南宁, 530004
  • 出版日期:2012-03-15 发布日期:2012-03-15
  • 通讯作者: 简金宝

On Properties of Quasi-semi-(E,F)-Convex Functions and Convex Programming

 JIAN  Jin-Bao1, HU  Qing-Juan1, MA  Peng-Fei1, LI  Jian-Ling1   

  1. 1. College of Mathematics and Information Science, Guangxi University, 530004, Nanning, China
  • Online:2012-03-15 Published:2012-03-15
  • Supported by:

    This work is supported by The National Science Foundation of  China (No. 71061002);  Guangxi NSF 2011GXNSFD018022; Guangxi University Graduate Innovative Research funds T32576.

摘要: 简、胡及唐等(Int. J. Pure Appl. Math., 2004, 14(4): 439-454)于2004年提出了拟半(E,F)--凸函数的概念. 本文进一步深入讨论拟半(E,F)--凸函数及与之相应的拟半(E,F)--凸规划的一些重要性质, 建立了此类广义凸性的若干重要结论.

关键词:  (E,F)--凸集, (E,F)--凸函数, 拟半(E,F)--凸函数, 拟半(E,F)--凸规划

Abstract: In 2004, Jian, Hu and Tang et al (Int. J. Pure Appl. Math., 2004, 14(4): 439-454) introduced the concept of quasi-semi-(E,F)-convex functions. In this paper, some important properties of quasi-semi-(E,F)-convex function and the associated quasi-semi-(E,F)-convex programming are further discussed. As a result,  some important results for this generalized convexity are established.

Key words: (E,F)-convex set, (E,F)-convex function, quasi-semi-(E,F)-convex function, quasi-semi-(E,F)-convex programming