| 向量最优化弱有效解的特征和存在性 |
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| 引用本文： | 黄龙光. 向量最优化弱有效解的特征和存在性[J]. 纯粹数学与应用数学, 2000, 16(3): 41-44,50 |
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| 作者姓名： | 黄龙光 |
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| 作者单位： | 西安电子科技大学数学系,西安,710071;韩山师范学院数学系,广东,潮州,521041 |
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| 摘 要： | 研究多目标凸向量优化问题在Gateaux可微条件下弱有效解的特性，并讨论一类非凸向量最优化问题弱有效解及与一变分不等式的等价性，给出了解的存在性。
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| 关 键 词： | 弱有效解 回收函数 准不变凸 向量最优化 存在性 |
| 文章编号： | 1008-5513(2000)03-0041-04 |
Existence and characteristics of solutions for vector optimization problems |
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| HUANG Long-guang. Existence and characteristics of solutions for vector optimization problems[J]. Pure and Applied Mathematics, 2000, 16(3): 41-44,50 |
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| Authors: | HUANG Long-guang |
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| Abstract: | This paper deals with the characteristics of weakly efficiency solutions of multiobjective convex vector optimization problems under the condition of Gateaux differentiability in a topological vector space. It also discusses the solutions of nonconvex vector optimization problems,and gives its existence theorem. |
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| Keywords: | weakly efficiency solution recession function preinx |
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