关于一类无限簇广义集值变分不等式

An infinite family of set-valued variational inequalitiy

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的解的存在性,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.

A new class of infinite family of set-valued variational inequalities are introduced and studied. An iterative algorithm is constructed and an existence of solutions for this kind of variational inequalities is proved. The convergence of iterative sequences generated by the algorithm is proved. The result presented. in this paper includes some known results as special cases.