一类混合非线性隐变分不等式系统的并行算法  

A Parallel Algorithm for a Kind of System of Mixed Nonlinear Implicit Variational Inequalities

作　　者：许鸿儒[1,2] 谢水连[2] 

机构地区：[1]湖南大学数学与计量经济学院,湖南长沙410082 [2]嘉应学院数学系,广东梅州514015

出　　处：《湖南大学学报（自然科学版）》2009年第6期86-88,共3页Journal of Hunan University:Natural Sciences

基　　金：国家自然科学基金资助项目(10671060)

摘　　要：讨论Banach空间中一类混合非线性隐变分不等式系统的数值算法.先引入适定次可微泛函的η-逼近映射的概念,利用η-逼近映射的性质,提出了求解混合非线性隐变分不等式系统的并行算法,并证明了算法的收敛性.This paper studied the numerical solution of system of mixed nonlinear implicit variational inequalities in Banach space. We introduced the definition of η- proximal mapping for a proper subdifferentiable function. Using the properties of η-proximal mapping, we have constructed a parallel algorithm for solving system of mixed nonlinear implicit variational inequalities and have established the convergence theorem of the algorithm.

关 键 词：并行算法 收敛 混合非线性隐变分不等式系统 η-逼近映射 

分 类 号：O241.82[理学—计算数学]