Title of article
Strong convergence of a general iteration scheme in CAT(0)CAT(0) spaces
Author/Authors
Abdul Rahim Khan، نويسنده , , Mohamed Amine Khamsi، نويسنده , , Hafiz Fukhar-ud-din، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2011
Pages
9
From page
783
To page
791
Abstract
We introduce and study strong convergence of a general iteration scheme for a finite family of asymptotically quasi-nonexpansive maps in convex metric spaces and CAT(0)CAT(0) spaces. The new iteration scheme includes modified Mann and Ishikawa iterations, the three-step iteration scheme of Xu and Noor and the scheme of Khan, Domlo and Fukhar-ud-din as special cases in Banach spaces. Our results are refinements and generalizations of several recent results from the current literature.
Keywords
Convex metric space , Common fixed point , Asymptotically (quasi-)nonexpansive map , Iteration scheme , CAT(0)CAT(0) space , Semi-compactness , Condition (AV)
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2011
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
862892
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