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

Jinhua Zhu, Shih-sen Chang, Min Liu · Journal of Inequalities and Applications · 2012

Abstract 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.

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