A Note on Strong Convergence of a Modified Halpern's Iteration for Nonexpansive Mappings

oleh: Shuang Wang

Format: Article
Diterbitkan: SpringerOpen 2010-01-01

Deskripsi

In the paper by Hu in 2008, the author proved a strong convergence result for nonexpansive mappings using a modified Halpern's iteration algorithm. Unfortunately, the case limn→∞βn=1 does not guarantee the strong convergence of the sequence {xn}. In this note, we provide a counter-example to the theorem.