摘要
作者引入了Hilbert空间中一类关于极大η-单调映象的广义隐拟变分包含,并利用预解算子技术建立了这类变分包含解的迭代算法逼近,证明了其解的存在性以及由算法生成的迭代序列的收敛性.
The author introduced a new class of generalized implicit quasi-variational inclusion involving maximal η-monotone mappings in Hilbert space H. Using the resolvent operator technique, she constructed iterative algorithms for the variational inclusion. Furthermore, the existence of solution for the variational in- clusion and the convergence of the iterative sequences generated by these algorithms were proved.
出处
《四川大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第1期11-15,共5页
Journal of Sichuan University(Natural Science Edition)
基金
西南财经大学科研基金(05Z59)
关键词
广义隐拟变分包含
极大Η-单调映象
预解算予
迭代算法
generalized implicit quasi-variational inclusion
maximal η-monotone mappings
resolvent opera-tor
iterative algorithms
