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

作　　者：邱洋青[1] 刘理蔚[1] 

机构地区：[1]南昌大学数学系,江西南昌330031

出　　处：《南昌大学学报（理科版）》2007年第2期113-116,124,共5页Journal of Nanchang University(Natural Science)

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)

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。This paper introduces and studies a class of muhivalued 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 

分 类 号：O177.91[理学—数学]