| F多值向量变分不等式问题及向量相补问题 |
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| 引用本文： | 孙燕兰,黄建华,郑苗苗.F多值向量变分不等式问题及向量相补问题[J].福州大学学报(自然科学版),2008,36(6):773-778. |
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| 作者姓名： | 孙燕兰 黄建华 郑苗苗 |
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| 作者单位： | 福州大学数学与计算机科学学院,福建,福州,350108 |
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| 基金项目： | 福州大学发展基金，福州大学育苗基金 |
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| 摘 要： | 引入F多值向量变分不等式问题(FMVVIP),推广了已有的向量变分不等式问题.通过引入弱FC-伪单调映射和半连续映射的概念,并在此条件下给出FMVVIP解的存在定理.同时,还讨论了多值向量变分不等式问题与向量相补问题的等价关系.
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| 关 键 词： | F多值向量变分不等式问题 Fan-KKM定理 F多值向量相补问题 |
On F multi- valued vector variational inequality problems and vector complementarity problem |
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| SUN Yan-lan,HUANG Jian-hu,ZHENG Miao-miao.On F multi- valued vector variational inequality problems and vector complementarity problem[J].Journal of Fuzhou University(Natural Science Edition),2008,36(6):773-778. |
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| Authors: | SUN Yan-lan HUANG Jian-hu ZHENG Miao-miao |
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| Institution: | (College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian,350108,China) |
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| Abstract: | We introduce a F multi-valued vector variational inequality problem(FMVVIP),which extends the existing vector variational inequality.The concepts of weakly FCpseudomonotone mappings and hemicontinuous mappins are introduced.Some existence results for FMVVI are obtained with the assumptions of weakly FC-pseudomonotonicity and hemicontinuity.And the relations among F multi-valued vector variational inequality(FMVVI) and F multi-valued vector complementarity problem(FMVCP) are discussed. |
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| Keywords: | F multi-valued vector variational inequality problem Fan-KKM theorem F multi-valued vector complementarity problem |
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