| Banach空间中广义混合向量似变分不等式问题 |
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| 引用本文： | 杨阳,张立刚.Banach空间中广义混合向量似变分不等式问题[J].科技信息,2011(5):18-19. |
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| 作者姓名： | 杨阳 张立刚 |
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| 作者单位： | 渤海大学数学系,辽宁锦州121013 |
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| 基金项目： | 辽宁省博士科研启动基金资助项目（No.20071097）. |
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| 摘 要： | 本文主要介绍Banach空间中一类广义混合向量似变分不等式问题,我们将给出全半连续和强半连续的定义内容,并运用Brouwer不动点定理在无单调性情况下证明广义混合向量似变分不等式解的存在性.
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| 关 键 词： | 广义混合向量似变分不等式 连续性 Brouwe不动点定理 |
On Generalized Mixed Vector Variational-like Inequality Problem in Banach Spaces |
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| YANG Yang,ZHANG Li-gang.On Generalized Mixed Vector Variational-like Inequality Problem in Banach Spaces[J].Science,2011(5):18-19. |
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| Authors: | YANG Yang ZHANG Li-gang |
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| Institution: | YANG Yang ZHANG Li.gang (Department of Mathematics, Bohai University, Jinzhou Liaoning, 121013) |
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| Abstract: | In this paper, we introduce a class of problem on generalized mixed vector variational-like inequalities in Banach spaces, we give the concepts of η-complete semicontinuity and ＂η-strong semicontinuity, and prove the solvability for generalized mixed vector variational-like inequality problem without monotonieity assumption by applying the Brouwer＇s fixed point theorem. |
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| Keywords: | GMVVLIP Continuous Brouwer fixed point theorem |
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