Hyperbolic monotonicity in the Hilbert ball

We first characterize ÃÂ-monotone mappings on the Hilbert ball by using their resolvents and then study the asymptotic behavior of compositions and convex combinations of these resolvents.

Bibliographic Details
Main Authors: Simeon Reich, Eva Kopecká
Format: Article
Language:English
Published: SpringerOpen 2006-02-01
Series:Fixed Point Theory and Applications
Online Access:http://dx.doi.org/10.1155/FPTA/2006/78104
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spelling doaj-ca50edfa9047436390280a21b847c0612020-11-25T01:06:23ZengSpringerOpenFixed Point Theory and Applications1687-18201687-18122006-02-01200610.1155/FPTA/2006/78104Hyperbolic monotonicity in the Hilbert ballSimeon ReichEva KopeckáWe first characterize ÃÂ-monotone mappings on the Hilbert ball by using their resolvents and then study the asymptotic behavior of compositions and convex combinations of these resolvents.http://dx.doi.org/10.1155/FPTA/2006/78104
collection DOAJ
language English
format Article
sources DOAJ
author Simeon Reich
Eva Kopecká
spellingShingle Simeon Reich
Eva Kopecká
Hyperbolic monotonicity in the Hilbert ball
Fixed Point Theory and Applications
author_facet Simeon Reich
Eva Kopecká
author_sort Simeon Reich
title Hyperbolic monotonicity in the Hilbert ball
title_short Hyperbolic monotonicity in the Hilbert ball
title_full Hyperbolic monotonicity in the Hilbert ball
title_fullStr Hyperbolic monotonicity in the Hilbert ball
title_full_unstemmed Hyperbolic monotonicity in the Hilbert ball
title_sort hyperbolic monotonicity in the hilbert ball
publisher SpringerOpen
series Fixed Point Theory and Applications
issn 1687-1820
1687-1812
publishDate 2006-02-01
description We first characterize ÃÂ-monotone mappings on the Hilbert ball by using their resolvents and then study the asymptotic behavior of compositions and convex combinations of these resolvents.
url http://dx.doi.org/10.1155/FPTA/2006/78104
work_keys_str_mv AT simeonreich hyperbolicmonotonicityinthehilbertball
AT evakopeck225 hyperbolicmonotonicityinthehilbertball
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