Applied Mathematics and Mechanics (English Edition) ›› 2006, Vol. 27 ›› Issue (12): 1655-1664 .doi: https://doi.org/10.1007/s10483-006-1208-z
• 论文 • 上一篇 下一篇
盛宝怀, 刘三阳
收稿日期:
修回日期:
出版日期:
发布日期:
通讯作者:
SHENG Bao-huai, LIU San-yang
Received:
Revised:
Online:
Published:
Contact:
Abstract: The optimality Kuhn-Tucker condition and the wolfe duality for the preinvex set-valued optimization are investigated. Firstly, the concepts of alpha-order G-invex set and the alpha-order S-preinvex set-valued function were introduced, from which the properties of the corresponding contingent cone and the alpha-order contingent derivative were studied. Finally, the optimality Kuhn-Tucker condition and the Wolfe duality theorem for the alpha-order S-preinvex set-valued optimization were presented with the help of the alpha-order contingent derivative.
Key words: null
中图分类号:
O221.6
28A25
90C30
盛宝怀;刘三阳. KUHN-TUCKER CONDITION AND WOLFE DUALITY OF PREINVEX SET-VALUED OPTIMIZATION[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(12): 1655-1664 .
SHENG Bao-huai;LIU San-yang. KUHN-TUCKER CONDITION AND WOLFE DUALITY OF PREINVEX SET-VALUED OPTIMIZATION[J]. Applied Mathematics and Mechanics (English Edition), 2006, 27(12): 1655-1664 .
0 / / 推荐
导出引用管理器 EndNote|Reference Manager|ProCite|BibTeX|RefWorks
链接本文: https://www.amm.shu.edu.cn/CN/10.1007/s10483-006-1208-z
https://www.amm.shu.edu.cn/CN/Y2006/V27/I12/1655
null
Email Alert
RSS