| 序线性空间中(y,O_Z;U_+)-广义次似凸集值映射的最优性条件 |
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| 引用本文： | 杨瑞,朱建青,国起.序线性空间中(y,O_Z;U_+)-广义次似凸集值映射的最优性条件[J].苏州科技学院学报(自然科学版),2011,28(3):13-17. |
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| 作者姓名： | 杨瑞 朱建青 国起 |
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| 作者单位： | 苏州科技学院数理学院,江苏苏州,215009 |
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| 基金项目： | 江苏省高校自然科学基金资助项目 |
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| 摘 要： | 讨论序线性空间中(y,OZ;U+)-广义次似凸集值映射的性质,且对此类映射证明了Farkas-Minkowski型择一性定理。并利用此定理,讨论了集值映射向量最优化问题的最优性条件。
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| 关 键 词： | (y OZ U+)-广义次似凸 择一性定理 集值映射 最优性条件 序线性空间 |
Optimality condition for（y,OZ;U＋）-generalized subconvexlike set-valued mapping in ordered linear spaces |
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| YANG Rui,ZHU Jianqing,GUO Qi.Optimality condition for（y,OZ;U＋）-generalized subconvexlike set-valued mapping in ordered linear spaces[J].Journal of University of Science and Technology of Suzhou,2011,28(3):13-17. |
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| Authors: | YANG Rui ZHU Jianqing GUO Qi |
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| Institution: | YANG Rui,ZHU Jianqing,GUO Qi(School of Mathematics and Physics,SUST,Suzhou 215009,China) |
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| Abstract: | In this paper we have discussed（y,OZ;U＋）-generalized subconvexlike set-valued mapping properties in the ordered linear spaces and of such mapping we have proved the Farkas-Minkowski-type alternative theorem.Then using this theorem,we have explored the optimality condition for vector optimization with set-valued mapping. |
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| Keywords: | （y OZ U＋）-generalized subconvexlike alternative theorem set-valued mapping optimality condition ordered linear spaces |
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