Generalized Contractive Set-Valued Maps on Complete Preordered Quasi-Metric Spaces

Generalized Contractive Set-Valued Maps on Complete Preordered Quasi-Metric Spaces

By using a suitable modification of the notion of a w-distance we obtain some fixed point results for generalized contractive set-valued maps on complete preordered quasi-metric spaces. We also show that several distinguished examples of non-metrizable quasi-metric spaces and of cones of asymmetric...

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Main Authors: J. Marín, S. Romaguera, P. Tirado
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Function Spaces and Applications
Online Access:http://dx.doi.org/10.1155/2013/269246
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spelling doaj-a7aa27df756448f1a9344c1cb68e42d52020-11-24T22:20:45ZengHindawi LimitedJournal of Function Spaces and Applications0972-68021758-49652013-01-01201310.1155/2013/269246269246Generalized Contractive Set-Valued Maps on Complete Preordered Quasi-Metric SpacesJ. Marín0S. Romaguera1P. Tirado2Instituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Camí de Vera s/n, 46022 València, SpainInstituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Camí de Vera s/n, 46022 València, SpainInstituto Universitario de Matemática Pura y Aplicada, Universitat Politècnica de València, Camí de Vera s/n, 46022 València, SpainBy using a suitable modification of the notion of a w-distance we obtain some fixed point results for generalized contractive set-valued maps on complete preordered quasi-metric spaces. We also show that several distinguished examples of non-metrizable quasi-metric spaces and of cones of asymmetric normed spaces admit w-distances of this type. Our results extend and generalize some well-known fixed point theorems.http://dx.doi.org/10.1155/2013/269246
collection DOAJ
language English
format Article
sources DOAJ
author J. Marín
S. Romaguera
P. Tirado
spellingShingle J. Marín
S. Romaguera
P. Tirado
Generalized Contractive Set-Valued Maps on Complete Preordered Quasi-Metric Spaces
Journal of Function Spaces and Applications
author_facet J. Marín
S. Romaguera
P. Tirado
author_sort J. Marín
title Generalized Contractive Set-Valued Maps on Complete Preordered Quasi-Metric Spaces
title_short Generalized Contractive Set-Valued Maps on Complete Preordered Quasi-Metric Spaces
title_full Generalized Contractive Set-Valued Maps on Complete Preordered Quasi-Metric Spaces
title_fullStr Generalized Contractive Set-Valued Maps on Complete Preordered Quasi-Metric Spaces
title_full_unstemmed Generalized Contractive Set-Valued Maps on Complete Preordered Quasi-Metric Spaces
title_sort generalized contractive set-valued maps on complete preordered quasi-metric spaces
publisher Hindawi Limited
series Journal of Function Spaces and Applications
issn 0972-6802
1758-4965
publishDate 2013-01-01
description By using a suitable modification of the notion of a w-distance we obtain some fixed point results for generalized contractive set-valued maps on complete preordered quasi-metric spaces. We also show that several distinguished examples of non-metrizable quasi-metric spaces and of cones of asymmetric normed spaces admit w-distances of this type. Our results extend and generalize some well-known fixed point theorems.
url http://dx.doi.org/10.1155/2013/269246
work_keys_str_mv AT jmarin generalizedcontractivesetvaluedmapsoncompletepreorderedquasimetricspaces
AT sromaguera generalizedcontractivesetvaluedmapsoncompletepreorderedquasimetricspaces
AT ptirado generalizedcontractivesetvaluedmapsoncompletepreorderedquasimetricspaces
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