| 混合拟单调变分不等式的自适应显式迭代算法 |
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| 引用本文： | 孙敏.混合拟单调变分不等式的自适应显式迭代算法[J].安徽大学学报(自然科学版),2009,33(6). |
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| 作者姓名： | 孙敏 |
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| 作者单位： | 枣庄学院,数学与信息科学系,山东,枣庄,277160 |
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| 摘 要： | 在投影收缩算法的基础上提出求解混合拟单调变分不等式的自适应迭代算法.算法的迭代步长在解的附近不趋于零,并且采用自适应技术,在算子单调的条件下,证明了其全局收敛性.论文的新算法改进了相关文献中的已有结果.
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| 关 键 词： | 混合拟单调变分不等式 投影收缩算法 自适应 |
Self-adaptive explicit method for the mixed quasimonotone variational inequalities |
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| SUN Min.Self-adaptive explicit method for the mixed quasimonotone variational inequalities[J].Journal of Anhui University(Natural Sciences),2009,33(6). |
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| Authors: | SUN Min |
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| Institution: | SUN Min(Department of Mathematics , Information Science,Zaozhuang University,Zaozhuang 277160,China) |
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| Abstract: | Based on projection and contraction method,we gave a new self-adaptive explicit iterative method for the mixed quasimonotone variational inequalities.The step-size of the proposed method was not zero near the solution,and self-adaptive technique was adopted in the new method.Under the monotonicity of the underlying mapping,the global convergence of the new method was proved.Our approach and results were new and generalized many known results in the field. |
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| Keywords: | mixed quasimonotone variational inequalities projection and contraction method self-adaptive |
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