New Methods with Perturbations for Non-Expansive Mappings in Hilbert Spaces

Fixexd point theory and applications

Naseer Shahzad¹  Yonghong Yao² 

[1] Department of Mathematics, King Abdul Aziz University, Jeddah, Saudi Arabia;Department of Mathematics, Tianjin Polytechnic University, Tianjin, China

关键词: Fixed point;    non-expansive mapping;    iterative method;    projection;   

DOI  :  10.1186/1687-1812-2011-79

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we suggest and analyze two iterative algorithms with perturbations for non-expansive mappings in Hilbert spaces. We prove that the proposed iterative algorithms converge strongly to a fixed point of some non-expansive mapping. 2000 Mathematics Subject Classification 47H09, 47H10.

【 授权许可】

CC BY