Hilbert空间中分裂一般变分不等式组的迭代算法  

Iterative Algorithms for a System of Split General Variational Inequalities in Hilbert Spaces

作　　者：赵亚莉[1] 刘鑫 韩冬雪 张倩 ZHAO Ya-li;LIU Xin;HAN Dong-xue;ZHANG Qian(College of Mathematics and Physics,Bohai University,Jinzhou 121013,China)

机构地区：[1]渤海大学数理学院

出　　处：《数学的实践与认识》2019年第20期248-254,共7页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11371070)

摘　　要：引入并研究实Hilbert空间中一类分裂变分不等式组.以投影算子为工具,提出了解这类分裂变分不等式组的迭代算法并证明了算法的收敛性.所得结果推广并改进了本领域以前的一些结果.In this paper,a system of split general variational inequalities in Hilbert spaces is introduced and studied.By making use of projection operator,an iterative algorithm for the system of split general variational inequalities is proposed and it is proved that the sequences generated by the iterative algorithm strongly converge to the solution to the system of split general variational inequalities.

关 键 词：分裂变分不等式组 迭代算法 收敛 

分 类 号：O17[理学—数学]