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
6期
511-517
,共7页
向量均衡问题%切上导数%弱有效解%真有效解%最优性条件
嚮量均衡問題%切上導數%弱有效解%真有效解%最優性條件
향량균형문제%절상도수%약유효해%진유효해%최우성조건
vector equilibrium problems%contingent epiderivative%weakly efficient solution%properly efficient solutions%optimality conditions
利用映射的切上导数,径向切上导数给出了向量均衡问题弱有效解,整体有效解,Henig有效解以及C-超有效解的充分必要条件.同时,利用X-切上导数的概念,给出了局部弱有效解及相应局部真有效解的充分必要条件.
利用映射的切上導數,徑嚮切上導數給齣瞭嚮量均衡問題弱有效解,整體有效解,Henig有效解以及C-超有效解的充分必要條件.同時,利用X-切上導數的概唸,給齣瞭跼部弱有效解及相應跼部真有效解的充分必要條件.
이용영사적절상도수,경향절상도수급출료향량균형문제약유효해,정체유효해,Henig유효해이급C-초유효해적충분필요조건.동시,이용X-절상도수적개념,급출료국부약유효해급상응국부진유효해적충분필요조건.
By using the concept of contingent epiderivative,radial contingent epiderivative,it presents the necessary and sufficient conditions for weakly efficient solution,globally efficient solution,Henig efficient solution and C- superefficient solution to the vector equilibrium problems.On the other hand,based on the X- contingent epiderivative it gives the necessary and sufficient conditions for local weakly efficient solution and corresponding local properly efficient solutions.
