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Asymptotic behavior of resolvents of coaccretive operators in the Hilbert ball

SYSNO ASEP	0358114
Document Type	J - Journal Article
R&D Document Type	Journal Article
Subsidiary J	Článek ve WOS
Title	Asymptotic behavior of resolvents of coaccretive operators in the Hilbert ball
Author(s)	Kopecká, Eva (MU-W)_{RID, SAI} Reich, S. (IL)
Source Title	Nonlinear Analysis: Theory, Methods & Applications. - : Elsevier - ISSN 0362-546X Roč. 70, č. 9 (2009), s. 3187-3194
Number of pages	8 s.
Language	eng - English
Country	GB - United Kingdom
Keywords	firmly nonexpansive mapping ; Hilbert ball ; hyperbolic metric
Subject RIV	BA - General Mathematics
R&D Projects	GA201/06/0018 GA ČR - Czech Science Foundation (CSF)
CEZ	AV0Z10190503 - MU-W (2005-2011)
UT WOS	000264691300017
DOI	10.1016/j.na.2008.04.023
Annotation	We study the resolvents of coaccretive operators in the Hilbert ball, with special emphasis on the asymptotic behavior of their compositions and metric convex combinations. We consider the case where the given coaccretive operators share a common fixed point inside the ball, as well as the case where they share a common sink point an its boundary. We establish weak convergence in the former case and strong convergence in the latter. We also present two related convergence results for a continuous implicit scheme.
Workplace	Mathematical Institute
Contact	Jarmila Štruncová, struncova@math.cas.cz, library@math.cas.cz, Tel.: 222 090 757
Year of Publishing	2011

Number of the records: 1