| 近似锥-次类凸集值优化问题的ε-弱有效性 |
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| 引用本文： | 庞进生,薛贞霞. 近似锥-次类凸集值优化问题的ε-弱有效性[J]. 河南师范大学学报(自然科学版), 2007, 35(3): 24-26 |
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| 作者姓名： | 庞进生 薛贞霞 |
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| 作者单位： | 1. 商丘职业技术学院,河南,商丘,476000
2. 西安电子科技大学,应用数学系,西安,710071;河南科技大学,数学系,河南,洛阳,471003 |
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| 摘 要： | 研究了序拓扑向量空间中非空集合的ε-(弱)有效点的一些基本性质.证明了近似锥-次类凸集值优化问题关于ε-弱有效解的标量化定理和Lagrange乘子定理.
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| 关 键 词： | 近似锥-次类凸 集值映射 ε-(弱)有效性 标量化 Lagrange乘子 |
| 文章编号： | 1000-2367（2007）03-0024-03 |
| 修稿时间： | 2007-01-09 |
ε-Weakly Efficiency in the Nearly Cone-Subconvexlike Vector Optimization Problems with Set-Valued Maps |
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| PANG Jin-sheng,XUE Zhen-xia. ε-Weakly Efficiency in the Nearly Cone-Subconvexlike Vector Optimization Problems with Set-Valued Maps[J]. Journal of Henan Normal University(Natural Science), 2007, 35(3): 24-26 |
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| Authors: | PANG Jin-sheng XUE Zhen-xia |
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| Abstract: | In this paper,we deal with some basic properties of ε-(weakly) efficient point for nonempty sets in the order topological vector space.We derive scalarization theorem and lagrangian multipliers results for ε-weakly efficient solutions. |
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| Keywords: | nearly cone-subconvexlike set-valued map ε-(weakly) efficiency scalarization Lagrangian multiplier |
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