一类变分不等式系统的辅助问题及其算法  

Auxiliary Problems and Iterative Algorithm for a Kind of System of Nonlinear Variational Inequalities

作　　者：谢水连[1] 许鸿儒[1] 

机构地区：[1]嘉应学院数学学院,广东梅州514015

出　　处：《嘉应学院学报》2009年第6期9-12,共4页Journal of Jiaying University

基　　金：国家自然科学基金(10671060)

摘　　要：研究了一类非线性变分不等式系统(SNVI)及其相关辅助问题,建立了辅助问题解的存在性定理。基于这些辅助问题,构造了求解SNVI的算法,证明了SNVI解的存在性以及算法的收敛性。We consider a kind of system of nonlinear variational inequalities （SNVI） and its related auxiliary problems. Existence theorem of solution of auxiliary problems is established. Based on these auxiliary problems, an iterative algorithm for SNVI is constructed. Furthermore, the existence of solution of SNVI as well as the convergence of the algorithm is established.

关 键 词：非线性变分不等式系统 辅助问题 迭代算法 收敛 

分 类 号：O242[理学—计算数学]