向量优化问题的Geoffrion有效解与向量变分不等式

广东工业大学学报 ›› 2003, Vol. 20 ›› Issue (2): 90-92.

向量优化问题的Geoffrion有效解与向量变分不等式

广东工业大学应用数学系；江西省信丰铁石口中学广东广州 510090；广东广州 510090；江西信丰 341600；

出版日期:2003-07-03 发布日期:2003-07-03

Geoffrion Efficiency in Vector Set - Valued Optimization Problem and Vector Variational Inequality

( Dept. of Applied Mathematics, Guangdong University of Technology, Guangzhou 510090, China; Tieshikou Middle School of Xinfeng, Jiangxi Provinle,Xinfeng 341600,China)

Online:2003-07-03 Published:2003-07-03

摘要/Abstract

摘要： 利用Jahn与Rauh提出的集值映射的切上导数概念,解决了以向量变分不等式的形式给出向量集值优化问题的Geoffrion有效解的充分必要条件。

刘伟；蔡前凤；温珍光； . 向量优化问题的Geoffrion有效解与向量变分不等式[J]. 广东工业大学学报, 2003, 20(2): 90-92.

LIU Wei, CAI Qian-feng, WEN Zhen-guang. Geoffrion Efficiency in Vector Set - Valued Optimization Problem and Vector Variational Inequality[J]. Journal of Guangdong University of Technology, 2003, 20(2): 90-92.

参考文献 2

[1] 刘伟,蔡前凤. 集值映射最优化问题的真有效解[J]. 广东工业大学学报. 2001(02)

[1] X. Q. Yang. Vector Variational Inequality and Vector Pseudolinear Optimization[J] ,1997

[2] Johannes Jahn,Rüdiger Rauh. Contingent epiderivatives and set-valued optimization[J] ,1997

[3] X. H. Gong. Connectedness of efficient solution sets for set-valued maps in normed spaces[J] ,1994

[1] Gong X H.Connectedness of efficient solution sets for set-valued maps in normed spaces. Journal of Optimization . 1994

[2] Borwein J M,Zhuang D.Super Efficiency in Vector Optimization. Transactions of the American Mathematical Society . 1993

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