| 集值映射多目标半定规划问题的epsilon-弱有效性 |
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| 引用本文： | 袁春红.集值映射多目标半定规划问题的epsilon-弱有效性[J].运筹学学报,2017,21(1):23-32. |
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| 作者姓名： | 袁春红 |
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| 作者单位： | 1. 内蒙古师范大学数学科学学院, 呼和浩特 010022 |
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| 基金项目： | 国家自然科学基金 (No. 11462020), 内蒙古教育厅项目 (No. NJZY032), 内蒙古师范大学科研基金项目 (No. 2014ZRYB09) |
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| 摘 要： | 对于集值映射多目标半定规划问题, 在近似锥-次类凸的框架下, 建立了含矩阵和向量的择一性定理, 给出了问题的epsilon-弱有效解的epsilon-Lagrange乘子定理及标量化定理和epsilon-弱鞍点定理．
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| 关 键 词： | 集值映射 多目标半定规划 近似锥-次类凸 epsilon-弱有效解 epsilon-Lagrange乘子 epsilon-弱鞍点 |
| 收稿时间： | 2016-04-25 |
The epsilon-weak proper efficiency of multiobjective semidefinite programming with set-valued maps |
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| YUAN Chunhong.The epsilon-weak proper efficiency of multiobjective semidefinite programming with set-valued maps[J].OR Transactions,2017,21(1):23-32. |
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| Authors: | YUAN Chunhong |
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| Affiliation: | 1. College of Mathematics Science, Inner Mongolia Normal University, Huhhot 010022, China |
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| Abstract: | epsilon-weak efficient solutions of multiobjective semidefinite programming with set-valued maps are discussed. Under the condition of nearly
cone-subconvexlikeness, the alternative theorem which contained matrix and vector is established, then the epsilon-Lagrange multiplier theorem, the scalarization theorem and epsilon-weak saddle point theorem of the primal programming are obtained. |
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| Keywords: | set-valued maps multiobjective semidefinite programming nearly cone-subconvexlikeness epsilon-weak efficient solution epsilon-Lagrange multiplier epsilon-weak saddle point |
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