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拟半(E,F)-凸函数及拟半(E,F)-凸规划的性质(英文) 被引量：5

On Properties of Quasi-semi-(E,F)-Convex Functions and Quasi-semi-(E,F)-Convex Programming
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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. 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.
作者 简金宝 胡庆娟 马鹏飞 黎健玲
机构地区 大学数学与信息科学学院
出处 《运筹学学报》 CSCD 北大核心 2012年第1期49-55,共7页 Operations Research Transactions
基金 supported by The National Science Foundation of China(No71061002) Guangxi NSF 2011GXNSFD018022 Guangxi University Graduate Innovative Research funds T32576
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 （E, F）-convex set, （E, F）-convex function, quasi-semi- （E, F）-convex func- tion, quasi-semi-（E, F）-convex programming
分类号 O221.2 [理学—运筹学与控制论]
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2012年 第1期

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