关于一类新的变分不等式的解

本文是建立在一些作者前期的工作基础之上，构造一类新的变分不等式问题，其形式是许多已研究过的变分不等式问题形式的推广，并为其找到以投影为工具的新的选代算法，在集值映象无紧约的条件下证明了由算法生成的序列的收敛性（收敛于问题的解）．

The Solution For A New Class Of Variational litequality

Many authors have constructed and studied some classes of variational inequality problems,from general variational inequality problem (GVIP), general generalized variational inequality problem (GGVIP) to generalized strongly nonlinear quesivaritional inequality problem (GSNQIP). Basing on them, in this paPer, we intreduce and study a new class of generalized strongly nonlinear quesivariational inequality problem. Inspired and motived by recent works in this field, we construct a new iterative algorithm for it for set-valued mappings without compactness, prove the existence of solutions and the convergence of sequences generated by the algorithm.