严格渐近伪压缩映象隐迭代序列的收敛性  

The Convergence of an Implicit Iteration Sequnces for Strictly Asymptotically Pseudocontractive Mappings

作　　者：何欣枫[1] 马建珍[2] 何震[1] 

机构地区：[1]河北大学数学与计算机学院,河北保定071002 [2]河北邢台学院数学系,河北邢台054000

出　　处：《数学的实践与认识》2007年第12期137-143,共7页Mathematics in Practice and Theory

基　　金：教育部科学技术重点支持项目(207014);河北省自然科学基金(A2006000941)项目资助

摘　　要：含有非扩张型映射的非线性算子方程的隐式迭代法,从2001年由H.K.Xu和R.G.Ori引入以来,已有许多学者进行了研究,得出了一些有意义的成果.最近M.O.Osilike对Browder-Petyshyn意义下的严格伪压缩映象的隐迭代过程,也做出了部分研究成果,但对严格渐近伪压缩映象未曾涉及.本文将主要研究Browder-Petyshyn意义下的严格渐近伪压缩映象的隐迭代过程.并讨论它们的收敛性问题.In 2001 H. K. Xu and R. G. Ori have introduced an implicit iteration methods for nonlinear operator equations of nonexpansive mapping. Since then scholars studied and obtained some significative results. Recently, M. 0. Osilike also studied on implicit iteration process for strictly pseudocontractive mappings of Browder-Petyshyn type, and is obtained partial investigative results. But these results do not include strictly asymptotically pseudocontractive mapping. We mainly discussed implicit iteration process for strictly asymptotically pseudocontractive mapping of Browder-Petyshyn type and researched their convergence problems.

关 键 词：严格渐进伪压缩映象 隐迭代 带误差的隐迭代 半紧性 

分 类 号：O177.2[理学—数学]