| 一类广义向量似变分不等式的间隙函数和解的存在性 |
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| 引用本文： | 姜艮,王岗,吴传平.一类广义向量似变分不等式的间隙函数和解的存在性[J].渝西学院学报(自然科学版),2012(2):9-12. |
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| 作者姓名： | 姜艮 王岗 吴传平 |
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| 作者单位： | 重庆师范大学数学学院,重庆沙坪坝401331 |
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| 基金项目： | 国家自然科学基金资助项目（11001289）;重庆市教委科技项目（KJl00608）. |
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| 摘 要： | 在Hausdorff拓扑向量空间中研究一类广义向量似变分不等式GVLVI，得到了它的间隙函数，并借助KKM映像证明了GVLVI解的存在性．
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| 关 键 词： | 向量似变分不等式 间隙函数 KKM映像 |
Gap functions and the existence of solutions to a class of generalized vector variational -like inequalities |
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| Institution: | JIANG Gen, WANG Gang, WU Chuan - ping ( College of Mathematics, Chongqing Normal University, Shapingba Chongqing 401331, China) |
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| Abstract: | A class of generalized vector variational - like inequalities was studied in hausdorff topological vector space, and the gap function of generalized vector variational - like inequalities was obtained, and the existence of solutions was proved by using the KKM mapping. |
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| Keywords: | vector variational -like inequality gap function KKM mapping |
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