Banach空间一类Lipschitz映射不动点的迭代逼近  

The Iterations Approximation of Fixed Points of a Class of Lipschitzian Maps in Banach Space

作　　者：王成[1] 张海娥[1] 汪志明[1] 

机构地区：[1]唐山学院基础教学部,唐山063000

出　　处：《应用泛函分析学报》2014年第3期250-254,共5页Acta Analysis Functionalis Applicata

基　　金：河北省唐山市科技计划(12110233b);唐山学院科学研究基金(13011B);河北省教育厅科研项目(Z2013016)

摘　　要：文章利用正规对偶映射的定义,给出了任意Banach空间Lipschitz强伪压缩映射不动点的Ishikawa迭代收敛定理.该定理不仅推广了已知结果,而且还简化了目前相应结果的证明.In this paper, we prove the Ishikawa iterations convergence theorems of the fixed points of Lipschitzian strongly successively pseudocontractive maps in arbitrary Banach space by applying normal dual mapping. Our results not only extend the existing results of thereferences listed in the paper, but also simplify the corresponding proofs.

关 键 词：任意BANACH空间 Lipschitz强伪压缩映射 ISHIKAWA迭代 不动点 

分 类 号：O177.91[理学—数学]