Hilbert空间中一般形式的松弛余强制变分不等式方程组的迭代逼近问题  

Iterative approximation of solutions of generalized system for relaxed cocoercive variational inequalities in hilbert spaces

作　　者：隆建军[1] 

机构地区：[1]攀枝花市大河中学,四川攀枝花617061

出　　处：《贵州师范大学学报（自然科学版）》2013年第5期64-67,106,共5页Journal of Guizhou Normal University：Natural Sciences

基　　金：四川省教育厅自然科学青年基金资助(2011ZA113)

摘　　要：利用投影方法研究了一类松弛余强制变分不等式方程组解的问题,给出了其解的迭代算法,并证明了由迭代算法生成的迭代序列的收敛性。所得结果改进和推广了最近文献的一些相应结果。The paper introduces and studies a class of systems of relaxed cocoercive variational ine- qualities. By using projection method , we construct some new iterative algorithms for solving this class of systems of variational inequalities , and we prove the strong convergence of iterative sequences gener- alized by the algorithms. The results presented in the article improve and unify some recent results in the field.

关 键 词：松弛映射 余强制映象 松弛余强制变分不等式方程组 投影方法 强收敛性 迭代算法 

分 类 号：O177.91[理学—数学]