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

作者：Zhu Jin hua; Chang Shih sen^*; Liu Min

来源：Journal of Inequalities and Applications, 2012, 73.

DOI：10.1186/1029-242X-2012-73

• multi-valued mapping
• relatively nonexpansive
• fixed point
• iterative sequence

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.

• 出版日期2012
• 单位云南大学; 宜宾学院