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| 向量优化问题的Benson真有效解的充分与必要条件 | |
| 引用本文： | 张改英,贾继红,王春玲,赵东涛.向量优化问题的Benson真有效解的充分与必要条件[J].纺织高校基础科学学报,2002,15(1):52-54. |
| 作者姓名： | 张改英 贾继红 王春玲 赵东涛 |
| 作者单位： | 1. 第四军医大学,生物医学工程系,陕西,西安,710032 2. 长安大学,基础部,陕西,西安,710061 3. 西安建筑科技大学,基础部,陕西,西安,710055 |
| 摘 要： | 在广义凸条件下，研究了带控制参量的向量优化问题。给出了这个问题的向量Lagrangians函数的概念，获得了Benson真有效解的充分条件与必要条件。 |
| 关 键 词： | 向量优化问题 锥次类凸映射 向量Lagrangians函数 真鞍点 Benson真有效解 |
| 文章编号： | 1006-8341(2002)01-0052-03 |
| 修稿时间： | 2001年11月27 |
Necessary and sufficiate conditions for Benson proper solution in vector optimization |
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| ZHANG Gai-ying ,JIA Ji-hong ,WANG Chun-ling ,ZHAO Tong-tao.Necessary and sufficiate conditions for Benson proper solution in vector optimization[J].Basic Sciences Journal of Textile Universities,2002,15(1):52-54. | |
| Authors: | ZHANG Gai-ying JIA Ji-hong WANG Chun-ling ZHAO Tong-tao |
| Affiliation: | ZHANG Gai-ying 1,JIA Ji-hong 2,WANG Chun-ling 3,ZHAO Tong-tao 1 |
| Abstract: | Vector optimization problems with control parametra are considered under generalized convexity condition.The relation of Benson proper solution and the optimal solutions of scalarization problems is studied,and necessary and sufficiate conditions for Benson proper solution are obtaioned. |
| Keywords: | Cone-subconvexlike maps vector Lagrangian function proper saddle point Benson proper solution |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |