Two New Iterative Methods for a Countable Family of Nonexpansive Mappings in Hilbert Spaces

Fixexd point theory and applications

Changsong Hu¹  Shuang Wang² 

[1] Department of Mathematics, Hubei Normal University, Huangshi, China;School of Mathematical Sciences, Yancheng Teachers University, Yancheng, China

关键词: Hilbert Space;    Banach Space;    Variational Inequality;    Iterative Method;    Nonexpansive Mapping;   

DOI  :  10.1155/2010/852030

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

We consider two new iterative methods for a countable family of nonexpansive mappings in Hilbert spaces. We proved that the proposed algorithms strongly converge to a common fixed point of a countable family of nonexpansive mappings which solves the corresponding variational inequality. Our results improve and extend the corresponding ones announced by many others.

【 授权许可】

CC BY