Multivalued mixed variational inequalities with locally Lipschitzian and locally cocoercive multivalued mappings
Multivalued mixed variational inequalities with locally Lipschitzian and locally cocoercive multivalued mappings
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DOI：
10.1016/j.jmaa.2012.10.055
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发表时间：
2013-03
影响因子：
1.3
通讯作者：
Boualem Alleche
中科院分区：
文献类型：
--
作者：
Boualem Alleche
本文研究了多值混合变分不等式的解问题。利用不动点理论中的一些序列逼近技巧，研究了涉及局部Lipschitz或局部余强制集值映象的集值混合变分不等式.证明了不需要多值映射值的凸性，并利用Banach压缩原理构造了收敛于解的序列。此外，我们展示了如何选择正则化参数来计算这些解决方案。
In this paper, we study the problem of solving multivalued mixed variational inequalities. By using some sequential approximation techniques of fixed point theory, we solve the multivalued mixed variational inequalities involving locally Lipschitzian or locally cocoercive multivalued mappings. We establish that the convexity of the multivalued mapping values is not needed and construct by using the Banach contraction principle converging sequences to the solutions. Also, we show how to choose regularization parameters to compute these solutions.