Banach空间中严格伪压缩映射可数族的弱收敛定理  

Weak Convergence Theorems of Countable Families of Strictly Pseudo-contractive Mappings in Banach Space

作　　者：冯宇[1] 郑泽申[1] 

机构地区：[1]成都信息工程学院应用数学学院,四川成都610225

出　　处：《内江师范学院学报》2014年第4期14-18,共5页Journal of Neijiang Normal University

基　　金：国家自然科学基金资助项目(11171046)

摘　　要：E是一致凸Banach空间,其中E具有Fréchetke可微范数.在空间E中研究了严格伪压缩可数族Mann型迭代方案的收敛性.该研究结论将有限映射族推广到无限映身之类,将空间背景削弱成了具有Fréchetke可微范数的实一致凸Banach空间及其它相应的结论.E is A uniformly convex Banach space with the Fréchetke differentiable norm. In Space E , the convergence properties of the Mann-type iterative scheme is put under examination for the strictly pseudo-contractive countable families. The findings of this study will be popularized from a finite mapping family to an infinite mapping family, and thus weaken the space background into a real uniformly convex Babach space with the Fréchetke differentiable norms.

关 键 词：公共不动点 收敛定理 λ-严格伪压缩映射 MANN迭代 一致凸BANACH空间 

分 类 号：O177.91[理学—数学]