On w-Isbell-convexity

[EN] Chistyakov introduced and developed a concept of modular metric for an arbitrary set in order to generalise the classical notion of modular on a linear space. In this article, we introduce the theory of hyperconvexity in the setting of modular pseudometric that is herein called w-Isbell-convexi...

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Bibliographic Details
Authors: Olela Otafudu, Olivier, Sebogodi, Katlego
Format: article
Publication Date:2022
Country:España
Institution:Universitat Politècnica de València (UPV)
Repository:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
Language:English
OAI Identifier:oai:riunet.upv.es:10251/182892
Online Access:https://riunet.upv.es/handle/10251/182892
Access Level:Open access
Keyword:Modular pseudometric
Isbell-convexity
w-Isbell-convexity
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spelling On w-Isbell-convexityOlela Otafudu, OlivierSebogodi, KatlegoModular pseudometricIsbell-convexityw-Isbell-convexity[EN] Chistyakov introduced and developed a concept of modular metric for an arbitrary set in order to generalise the classical notion of modular on a linear space. In this article, we introduce the theory of hyperconvexity in the setting of modular pseudometric that is herein called w-Isbell-convexity. We show that on a modular set, w-Isbell-convexity is equivalent to hyperconvexity whenever the modular pseudometric is continuous from the right on the set of positive numbers.Universitat Politècnica de ValènciaRepositorio Institucional de la Universitat Politècnica de València Riunet20222022-04-01journal articlehttp://purl.org/coar/resource_type/c_6501VoRhttp://purl.org/coar/version/c_970fb48d4fbd8a85info:eu-repo/semantics/articleapplication/pdfhttps://riunet.upv.es/handle/10251/182892reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valénciainstname:Universitat Politècnica de València (UPV)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2Reconocimiento - No comercial - Sin obra derivada (by-nc-nd) http://creativecommons.org/licenses/by-nc-nd/4.0/info:eu-repo/semantics/openAccessoai:riunet.upv.es:10251/1828922026-06-13T07:49:27Z
dc.title.none.fl_str_mv On w-Isbell-convexity
title On w-Isbell-convexity
spellingShingle On w-Isbell-convexity
Olela Otafudu, Olivier
Modular pseudometric
Isbell-convexity
w-Isbell-convexity
title_short On w-Isbell-convexity
title_full On w-Isbell-convexity
title_fullStr On w-Isbell-convexity
title_full_unstemmed On w-Isbell-convexity
title_sort On w-Isbell-convexity
dc.creator.none.fl_str_mv Olela Otafudu, Olivier
Sebogodi, Katlego
author Olela Otafudu, Olivier
author_facet Olela Otafudu, Olivier
Sebogodi, Katlego
author_role author
author2 Sebogodi, Katlego
author2_role author
dc.contributor.none.fl_str_mv Repositorio Institucional de la Universitat Politècnica de València Riunet
dc.subject.none.fl_str_mv Modular pseudometric
Isbell-convexity
w-Isbell-convexity
topic Modular pseudometric
Isbell-convexity
w-Isbell-convexity
description [EN] Chistyakov introduced and developed a concept of modular metric for an arbitrary set in order to generalise the classical notion of modular on a linear space. In this article, we introduce the theory of hyperconvexity in the setting of modular pseudometric that is herein called w-Isbell-convexity. We show that on a modular set, w-Isbell-convexity is equivalent to hyperconvexity whenever the modular pseudometric is continuous from the right on the set of positive numbers.
publishDate 2022
dc.date.none.fl_str_mv 2022
2022-04-01
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
VoR
http://purl.org/coar/version/c_970fb48d4fbd8a85
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://riunet.upv.es/handle/10251/182892
url https://riunet.upv.es/handle/10251/182892
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
Reconocimiento - No comercial - Sin obra derivada (by-nc-nd)
http://creativecommons.org/licenses/by-nc-nd/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Universitat Politècnica de València
publisher.none.fl_str_mv Universitat Politècnica de València
dc.source.none.fl_str_mv reponame:RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
instname:Universitat Politècnica de València (UPV)
instname_str Universitat Politècnica de València (UPV)
reponame_str RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
collection RiuNet. Repositorio Institucional de la Universitat Politécnica de Valéncia
repository.name.fl_str_mv
repository.mail.fl_str_mv
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