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赋范空间关于强变分不等式的α-例外簇 被引量：6

α-EXCEPTIONAL FAMILY OF ELEMENTS FOR STRONG VARIATIONAL INEQUALITY IN NORMED SPACES
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摘要 在赋范空间提出一个关于强变分不等式问题的α-例外簇的概念,推广了已有的例外簇的概念,并给出相应的解的存在性定理,得到择一型"强变分不等式问题有解,否则存在一个α-例外簇". A new concept of α-exceptional family of elements for the strong variational inequality problem in the normed space is introduced,which generalizes the existing concept of exceptional family of elements.The corresponding existence theorem is given,and thus an alternative conclusion of ＂strong variational inequality problem has a solution,otherwise there exists a α-exceptional family of elements＂ is obtained.
作者 韦丽兰 黄力人
机构地区 华南师范大学数学科学学院
出处 《华南师范大学学报（自然科学版）》 CAS 北大核心 2011年第1期43-45,共3页 Journal of South China Normal University(Natural Science Edition)
关键词 强变分不等式问题 α-例外簇 存在性定理 strong variational inequality problem α-exceptional family of elements existence theorem
分类号 O211.2 [理学—概率论与数理统计]
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参考文献5

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共引文献8

同被引文献25

  • 1董宁,莫浩艺,高兴宝.解广义变分不等式的神经网络[J].工程数学学报,2004,21(F12):78-82. 被引量：1
  • 2ISACG.,LIJin-lu.Exceptional family of elements and the solvability of complementarity problems in uniformly smooth and uniformly convex Banach spaces[J].Journal of Zhejiang University-Science A(Applied Physics & Engineering),2005,6(4):289-295. 被引量：3
  • 3李有梅,申建中,徐宗本.投影型神经网络算法的全局收敛性分析[J].计算机学报,2005,28(7):1178-1184. 被引量：4
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  • 7Lan H Y,Cui Y S.A neural network method for solving a system of linear variational inequalities[J].Chaos,Solitons and Fractals,2009,41:1245-1252.
  • 8Ding K,Huang N J.A new class of interval projection neural networks for solving interval quadratic program[J].Chaos,Solitons and Fractals,2008,35:718-725.
  • 9Xia Y S,Feng G.A new neural network for solving nonlinear projection equations[J].Neural Networks,2007,20:577-589.
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引证文献6

二级引证文献1

华南师范大学学报（自然科学版）
2011年 第1期

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