南昌大学学报（理科版）
南昌大學學報（理科版）
남창대학학보（이과판）
JOURNAL OF NANCHANG UNIVERSITY(NATURAL SCIENCE)
2009年
5期
409-414
,共6页
类凸向量均衡问题%最优性条件%弱有效解%Henig有效解%全局有效解%超有效解
類凸嚮量均衡問題%最優性條件%弱有效解%Henig有效解%全跼有效解%超有效解
류철향량균형문제%최우성조건%약유효해%Henig유효해%전국유효해%초유효해
convex-like vector equilibrium problem%optimality condition%weakly efficient solution%Henig efficient solution%globally efficient solution%superefficient solution
在实的局部凸的Hausdorff拓扑线性空间中,考虑带约束的向量均衡问题,利用凸集分离定理,给出了带约束的类凸向量均衡问题的弱有效解,Henig有效解,全局有效解和超有效解的充分必要条件,并通过举例说明了锥类凸映射是比锥凸映射更弱的映射.
在實的跼部凸的Hausdorff拓撲線性空間中,攷慮帶約束的嚮量均衡問題,利用凸集分離定理,給齣瞭帶約束的類凸嚮量均衡問題的弱有效解,Henig有效解,全跼有效解和超有效解的充分必要條件,併通過舉例說明瞭錐類凸映射是比錐凸映射更弱的映射.
재실적국부철적Hausdorff탁복선성공간중,고필대약속적향량균형문제,이용철집분리정리,급출료대약속적류철향량균형문제적약유효해,Henig유효해,전국유효해화초유효해적충분필요조건,병통과거례설명료추류철영사시비추철영사경약적영사.
It considers the vector equilibrium problems with constraints in real locally convex Hausdorff topological vector space,and uses separation theorem of convex sets to prove the necessary and sufficient conditions for weakly efficient solution,Henig efficient solution,globally efficient solution,and superefficient solution to the convex-like vector equilibrium problems with constraints,then it presents an example to illustrate convexity-like is weaker than convex.
