Paper Info
Title
A new sufficient condition for the strong convergence of Halpern type iterations
Abstract
The aim of this work is to give a new sufficient condition of the strong convergence of the Halpern type iteration for a non-expansive self-mapping defined on a Banach space with a uniformly Gâteaux differentiable norm. Several examples satisfying our condition are presented. Our results not only remove the restriction of the space with the fixed point property for non-expansive self-mappings, but also get rid of the dependence on the convergence of the implicit anchor-like continuous path zt in the proof.
Year
DOI
Venue
2008
10.1016/j.amc.2007.09.010
Applied Mathematics and Computation
Keywords
Field
DocType
Non-expansive mappings,Halpern type iteration,Uniformly Gâteaux differentiable norm
Convergence (routing),Mathematical optimization,Mathematical analysis,Banach space,Fixed-point property,Differentiable function,Fixed-point space,Numerical analysis,Mathematics
Journal
Volume
Issue
ISSN
198
2
0096-3003
Citations 
PageRank 
References 
3
0.70
2
Authors
1
Name
Order
Citations
PageRank
Yisheng Song114324.79