| KUHN-TUCKER CONDITION AND WOLFE DUALITY OF PREINVEX SET-VALUED OPTIMIZATION |
| |
| 引用本文： | 盛宝怀,刘三阳. KUHN-TUCKER CONDITION AND WOLFE DUALITY OF PREINVEX SET-VALUED OPTIMIZATION[J]. 应用数学和力学(英文版), 2006, 27(12): 1655-1664. DOI: 10.1007/s 10483-006-1208-z |
| |
| 作者姓名： | 盛宝怀 刘三阳 |
| |
| 作者单位： | Department of Mathematics Shaoxing College of Arts and Sciences，Shaoxing 312000，Zhejiang Province，P. R. China，Department of Applied Mathematics，Xidian University，Xi'an 710071，P. R. China |
| |
| 基金项目： | 国家自然科学基金;浙江省自然科学基金 |
| |
| 摘 要： | The optimality Kuhn-Tucker condition and the wolfe duality for the prein-vex 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.
|
| 关 键 词： | 最优设计 多目标规划 二重性 条件 |
| 收稿时间： | 2004-09-17 |
| 修稿时间： | 2006-08-19 |
Kuhn-tucker condition and wolfe duality of preinvex set-valued optimization |
| |
| Bao-huai Sheng Doctor,San-yang Liu. Kuhn-tucker condition and wolfe duality of preinvex set-valued optimization[J]. Applied Mathematics and Mechanics(English Edition), 2006, 27(12): 1655-1664. DOI: 10.1007/s 10483-006-1208-z |
| |
| Authors: | Bao-huai Sheng Doctor San-yang Liu |
| |
| Affiliation: | 1. Department of Mathematics, Shaoxing College of Arts and Sciences,Shaoxing,312000, Zhejiang Province, P. R. China
2. Department of Applied Mathematics, Xidian University, Xi'an,710071, P. R. China |
| |
| 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. |
| |
| Keywords: | preinvex set-valued function contingent epiderivatives optimality conditions duality |
| 本文献已被 CNKI 维普 万方数据 SpringerLink 等数据库收录！ |
| 点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息 |
|
点击此处可从《应用数学和力学(英文版)》下载全文 |
