On weak convergence of an iterative algorithm for common solutions of inclusion problems and fixed point problems in Hilbert spaces

Fixexd point theory and applications

Yuan Hecai¹ 

[1] School of Mathematics and Information Science, North China University of Water Resources and Electric Power, Zhengzhou, China

关键词: maximal monotone operator;    nonexpansive mapping;    Hilbert space;    fixed point;   

DOI  :  10.1186/1687-1812-2013-155

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, a monotone inclusion problem and a fixed point problem of nonexpansive mappings are investigated based on a Mann-type iterative algorithm with mixed errors. Strong convergence theorems of common elements are established in the framework of Hilbert spaces. MSC:47H05, 47H09, 47J25.

【 授权许可】

CC BY