Effective metastability for modified Halpern iterations in CAT(0) spaces

Katharina Schade, Ulrich Kohlenbach

Type: Article

Publication Date: 2012-10-29

Citations: 12

DOI: https://doi.org/10.1186/1687-1812-2012-191

Abstract

We examine convergence results for modified Halpern iterations due to Cuntavepanit and Panyanak (Fixed Point Theory Appl. 2011:869458, 2011). Following Kohlenbach and Leuştean (Adv. Math. 231:2525-2556, 2012), we extract uniform rates of metastability. This includes extracting rates of asymptotic regularity and replacing an ineffective argument that uses Banach limits.

Locations

Fixed Point Theory and Applications - View - PDF

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+	On the Interpretation of Non-Finitist Proofs: Part II. Interpretation of Number Theory. Applications	1952	G. Kreisel
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+ PDF Chat	Topological Methods in Nonlinear Functional Analysis	1983	S. P. Singh S. Thomeier Billy Watson
+	On the interpretation of non-finitist proofs—Part I	1951	G. Kreisel
+	On quantitative versions of theorems due to F.E. Browder and R. Wittmann	2010	Ulrich Kohlenbach
+	Approximation of fixed points of nonexpansive mappings	1992	Rainer Wittmann
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