Banach空间中一类非线性变分包含问题解的迭代程序的收敛性和稳定性  

Convergence and Stability of Iterative Procedures of Solutions for Certain Nonlinear Variational Inclusions Problem in Banach Spaces

作　　者：谷峰[1] 

机构地区：[1]杭州师范学院应用数学研究所,杭州师范学院数学系,浙江杭州310012

出　　处：《应用数学》2005年第3期373-380,共8页Mathematica Applicata

基　　金：杭师院引进人才科研启动基金资助项目;黑龙江省自然科学基金资助项目(A0211);黑龙江省普通高校骨干教师创新能力资助计划项目(1053G015);黑龙江省教育厅科研资助项目(10511132)

摘　　要：在自反Banach空间中,研究了一类强增生型非线性变分包含解的存在性及其具有混合误差项的Ishikawa迭代程序的收敛性和稳定性问题,并提供了收敛率的估计.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 of solutions and convergence and stability of Ishikawa iterative procedures with mixed errors for certain nonlinear variational inclusions involving strongly accretive type mappings in real reflexive Banach spaces,and our argument provides a convergence rate estimate.The results presented in this paper extend and improve the corresponding results,which were obtained by several authors early and recently.

关 键 词：稳定性 变分包含 强增生映象 带混合误差项的Ishikawa迭代序列 自反 BANACH空间 

分 类 号：O177.91[理学—数学]