| 近似锥一次类凸集值向量优化问题强有效解的广义鞍点刻画 |
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| 引用本文： | 余国林,刘三阳.近似锥一次类凸集值向量优化问题强有效解的广义鞍点刻画[J].数学杂志,2008,28(1):61-66. |
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| 作者姓名： | 余国林 刘三阳 |
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| 作者单位： | 1. 西北第二民族学院信息与计算科学系,宁夏,银川,750021;西安电子科技大学应用数学系,陕西,西安,710071
2. 西安电子科技大学应用数学系,陕西,西安,710071 |
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| 基金项目： | 陕西省自然科学基金
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西北第二民族学院校科研和教改项目 |
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| 摘 要： | 本文研究了近似锥一次类凸集值向量优化强有效解的广义鞍点表示问题.利用择一定理,得到了近似锥-次类凸集值优化问题强有效解为广义鞍点的充分条件和必要条件.所得结果丰富了集值优化理论,并且拓广了广义鞍点的应用.
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| 关 键 词： | 近似锥-次类凸 集值映射 强有效性 广义鞍点 近似锥 次类凸 集值优化问题 向量优化问题 有效解 广义鞍点 SADDLE POINT GENERALIZED CHARACTERIZED PROBLEMS VECTOR OPTIMIZATION NEARLY EFFICIENT SOLUTIONS 应用 优化理论 结果 充分条件 择一定理 利用 表示问题 |
| 文章编号： | 0255-7797（2008）01-0061-06 |
| 收稿时间： | 2005-05-19 |
| 修稿时间： | 2005-12-19 |
STRONG EFFICIENT SOLUTIONS OF NEARLY CONE-SUBCONVEXLIKE SET-VALUED VECTOR OPTIMIZATION PROBLEMS CHARACTERIZED BY GENERALIZED SADDLE POINT |
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| YU Guo-lin,LIU San-yang.STRONG EFFICIENT SOLUTIONS OF NEARLY CONE-SUBCONVEXLIKE SET-VALUED VECTOR OPTIMIZATION PROBLEMS CHARACTERIZED BY GENERALIZED SADDLE POINT[J].Journal of Mathematics,2008,28(1):61-66. |
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| Authors: | YU Guo-lin LIU San-yang |
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| Abstract: | The purpose of this paper is to investigate the representation problems of strong efficient solutions by generalized saddle point in nearly cone-subconvexlike set-valued vector optimization problems. By using the theorem of alternative, we obtain the necessary and sufficient conditions for strong efficient solutions to be the generalized saddle point in vector optimization problems with set-valued maps under the assumption of nearly cone-subconvexlikeness. The results enrich the theory of set-valued optimization, and enlarge the application of the generalized saddle point. |
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| Keywords: | Nearly cone-subconvexlike Set-valued map Strong efficiency Generalized saddle point |
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