一类新的无限簇集值变分不等式  

A new infinite family of set-valued variational inequalitiy

作　　者：程莉[1] 

机构地区：[1]四川农业大学数学系,四川雅安625014

出　　处：《重庆工商大学学报（自然科学版）》2006年第3期224-226,共3页Journal of Chongqing Technology and Business University:Natural Science Edition

摘　　要：引入并研究了一类新的无限簇广义集值变分不等式,证明了这类变分不等式解的存在性,并构造了其迭代算法,得到了由此算法产生的迭代序列的收敛性,所得结果推广和改进了已知的相应结果.In this paper, the author introduces and studies a new class of infinite family of set - valued variational inequalities, constructs an iterative algorithm and proves an existence of solutions for this kind of variational inequalities, also proves the convergence of iterative sequences generated by the algorithm. The result presented in this paper includes some known results as special cases.

关 键 词：无限簇 变分不等式 算法 收敛性 

分 类 号：O177.91[理学—数学]