运筹学学报
運籌學學報
운주학학보
OR TRANSACTIONS
2012年
1期
49-55
,共7页
简金宝%胡庆娟%马鹏飞%黎健玲
簡金寶%鬍慶娟%馬鵬飛%黎健玲
간금보%호경연%마붕비%려건령
(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)-凸集%(E%F)-凸函數%擬半(E%F)-凸函數%擬半(E%F)-凸規劃
(E%F)-철집%(E%F)-철함수%의반(E%F)-철함수%의반(E%F)-철규화
(E,F)-convex set%(E,F)-convex function%quasi-semi-(E,F)-convex function%quasi-semi-(E,F)-convex programming
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.
簡、鬍及唐等(Int.J.Pure Appl.Math.,2004,14(4):439-454)于2004年提齣瞭擬半(E,F)-凸函數的概唸.本文進一步深入討論擬半(E,F)-凸函數及與之相應的擬半(E,F)-凸規劃的一些重要性質,建立瞭此類廣義凸性的若榦重要結論.
간、호급당등(Int.J.Pure Appl.Math.,2004,14(4):439-454)우2004년제출료의반(E,F)-철함수적개념.본문진일보심입토론의반(E,F)-철함수급여지상응적의반(E,F)-철규화적일사중요성질,건립료차류엄의철성적약간중요결론.
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.
