Title of article
Halpern iteration for firmly type nonexpansive mappings Original Research Article
Author/Authors
Yisheng Song، نويسنده , , Xinkuan Chai، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
7
From page
4500
To page
4506
Abstract
The main aim of this paper is to study the strong convergence of Halpern iteration for firmly type nonexpansive mappings defined on a Banach space with a uniformly Gâteaux differentiable norm, and the proof techniques are simpler and different from much existing literature also, which gives the affirmative answer of the Halpern open problem for this class of mapping.
Keywords
Firmly type nonexpansive mappings , Halpern iteration , Uniformly Gâteaux differentiable norm
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2009
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
861556
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