一类非线性变分包含问题解的具混合误差项的Ishikawa迭代逼近  

Ishikawa Iterative Approximation with Mixed Errors of Solutions for Certain Nonlinear Variational Inclusions Problem

作　　者：陆竞 

机构地区：[1]杭州师范大学理学院,浙江杭州310036

出　　处：《杭州师范学院学报（自然科学版）》2007年第5期324-327,365,共5页Journal of Hangzhou Teachers College(Natural Science)

基　　金：浙江省自然科学基金(Y605191)

摘　　要：研究实自反Banach空间中一类具有Lipschitz条件的强增生型变分包含解的存在性、唯一性及其具有混合误差项的Ishikawa迭代程序的收敛性问题.另一方面,一个相关结果,讨论了一类强增生型变分不等式解的存在性和带有混合误差项的Ishikawa迭代序列的收敛性.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 Ishikawa iterative process with mixed errors for a class of strongly accretive type variational inclusions with Lipschitz condition in real reflexive Banach spaces. On the other hand, a related result discusses the existence of solutions and the convergence of Ishikawa iterative sequences with mixed errors for a class of strongly accretive type variational inequality. The results presented in this paper extend and improve the corresponding results, which were obtained by several authors early and recently.

关 键 词：变分包含 强增生映象 带混合误差项的Ishikawa迭代序列 

分 类 号：O177.91[理学—数学]