Strong convergence theorems by Halpern-Mann iterations for multi-valued relatively nonexpansive mappings in Banach spaces with applications

Journal of inequalities and applications

Jin-hua Zhu¹ 

关键词: multi-valued mapping;    relatively nonexpansive;    fixed point;    iterative sequence;   

DOI  :  10.1186/1029-242X-2012-73

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article, an iterative sequence for relatively nonexpansive multi-valued mapping by modifying Halpern and Mann's iterations is introduced, and then some strong convergence theorems are proved. At the end of the article some applications are given also. AMS Subject Classification: 47H09; 47H10; 49J25.

【 授权许可】

CC BY