| 广义混合隐拟h变分不等式的解的存在性与算法 |
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| 引用本文： | 罗春林.广义混合隐拟h变分不等式的解的存在性与算法[J].数学杂志,2006,26(5):537-544. |
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| 作者姓名： | 罗春林 |
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| 作者单位： | 康定民族师范专科学校数学系,四川康定,626001 |
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| 基金项目： | 四川省教委自然科学基金重点资助项目(2003407) |
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| 摘 要： | 本文在Hilbert空间中,引入了一类广义混合隐拟h变分不等式.运用变分原理,给出了广义混合隐拟h变分不等式逼近解的迭代算法,证明了这类变分不等式解的存在性定理,同时,得到迭代序列的收敛性.并改进和推广了6~8]一些已知结果.
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| 关 键 词： | h变分不等式 变分原理 存在性 算法 |
| 文章编号： | 0255-7797（2006）05-0537-08 |
| 收稿时间： | 2004-04-24 |
| 修稿时间： | 2004-04-242004-10-30 |
EXISTEMCE AND ALGORITHM OF SOLUTIONS FOR GENERALIZED MIXED IMPLICIT QUASI-h-VARIATIONAL INEQUALITIES |
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| LUO Chun-lin.EXISTEMCE AND ALGORITHM OF SOLUTIONS FOR GENERALIZED MIXED IMPLICIT QUASI-h-VARIATIONAL INEQUALITIES[J].Journal of Mathematics,2006,26(5):537-544. |
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| Authors: | LUO Chun-lin |
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| Abstract: | In this paper, we introduce and study a new class of generalized mixed implicit quasi-h-variational inequalities in Hilbert space. By using the auxiliary variational principle technique, we show the iterative algorithm of the approximate solutions for generalized mixed implicit quasi-h-variational inequalities, and prove the existence of solutions for this class of variational inequalities, simultaneously, the convergence of the iterative sequence is discussed. We also improve and generalize many known results in recent literature. |
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| Keywords: | h-variational inequalities variational principle existence algorithm |
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