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一类集值非线性混合变分包含问题和隐拟变分不等式问题的逼近解
Approximate Solutions to a Class of Multivalued Mixed Variational Inclusions and a Class of Implicit Quasi-variational Inequalities
【摘要】 研究一类集值非线性混合变分包含问题和隐拟变分不等式问题,运用预解算子和投影算子技巧分别给出了两种新的迭代算法,并证明了这类问题解的存在性及由算法所得序列的收敛性。结果是近期一些有关结果的改进和推广。
【Abstract】 This paper introduces and studies a class of multivalued mixed variational inclusions and a class of implicit quasi-variational inequalities.By using the resolvent operator and projection operator technique,it constructs two new iterative algorithms,and proves the existence of solutions for the problems and the convergence of iterative sequences generated by the algorithms.The results generalize and improve many recent known results.
【关键词】 变分不等式;
松弛Lipschitz算子;
投影算子;
预解算子;
【Key words】 variational inequalities; relaxed lipschitz operator; resolvent operator; projection operator;
【Key words】 variational inequalities; relaxed lipschitz operator; resolvent operator; projection operator;
【基金】 国家自然科学基金资助项目(1056007);江西省自然科学基金资助项目(0411036)
- 【文献出处】 南昌大学学报(理科版) ,Journal of Nanchang University(Natural Science) , 编辑部邮箱 ,2007年02期
- 【分类号】O177.91
- 【被引频次】5
- 【下载频次】57