Regularization and Iterative Methods for Monotone Variational Inequalities

Fixexd point theory and applications

Hong-Kun Xu¹  Xiubin Xu² 

[1] Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung, Taiwan;Department of Mathematics, Zhejiang Normal University, Jinhua, China

关键词: Variational Inequality;    Iterative Method;    Nonexpansive Mapping;    Monotone Operator;    Variational Inequality Problem;   

DOI  :  10.1155/2010/765206

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We provide a general regularization method for monotone variational inequalities, where the regularizer is a Lipschitz continuous and strongly monotone operator. We also introduce an iterative method as discretization of the regularization method. We prove that both regularization and iterative methods converge in norm.

【 授权许可】

CC BY