一类强增生型变分不等式解的Mann迭代法  

On the Mann-type Iterative Method for Solutions to Certain Strongly Accretive Type Variational Inequality

作　　者：郝彦[1] 周杰[1] 

机构地区：[1]浙江海洋学院信息学院,浙江舟山316004

出　　处：《大学数学》2010年第3期46-49,共4页College Mathematics

摘　　要：研究了实自反Banach空间中一类具有Lipschitz条件的强增生型变分不等式解的存在性、唯一性及其具有混合误差项的Mann迭代程序的收敛性问题.该文结果是一些作者早期与最近的相应结果的改进与推广.The purpose of this paper is to investigate the existence and uniqueness of solutions and convergence of Mann iterative process with mixed errors for a class of strongly accretive type variational inequality with Lipschitz condition in real reflexive Banach spaces.The results presented in this paper extend and improve the corresponding results,which were obtained by several authors early and recently.

关 键 词：变分不等式 强增生映象 带混合误差项的Mann迭代序列 

分 类 号：O177.91[理学—数学]