On iterative methods for solving a system of mixed variational inequalities
On iterative methods for solving a system of mixed variational inequalities
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DOI：
10.1080/00036810701799777
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发表时间：
2008-01
影响因子：
1.1
通讯作者：
M. Noor
中科院分区：
文献类型：
--
作者：
M. Noor
在这篇文章中，我们引入并考虑了一个新的涉及两个不同算子的混合变分不等式组。利用预解算子技巧，我们提出并分析了这类混合变分不等式组的一些新的显式迭代方法。在适当的条件下，我们还研究了新迭代法的收敛性分析。由于这个新的系统包括系统的变分不等式涉及的单一运营商，变分不等式和相关的优化问题的特殊情况下，本文中所得到的结果继续保持这些问题。我们的结果可以看作是对变分不等式的一个改进。
In this article, we introduce and consider a new system of mixed variational inequalities involving two different operators. Using the resolvent operator technique, we suggest and analyse some new explicit iterative methods for this system of mixed variational inequalities. We also study the convergence analysis of the new iterative method under certain mild conditions. Since this new system includes the system of variational inequalities involving the single operator, variational inequalities and related optimization problems as special cases, results obtained in this article continue to hold for these problems. Our results can be viewed as a refinement and improvement of the previously known results for variational inequalities.