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dc.contributor.authorNezir, Veyselen_US
dc.contributor.authorDutta, Hemenen_US
dc.contributor.authorYazıcı, Merveen_US
dc.date.accessioned2020-11-16T08:15:15Z
dc.date.available2020-11-16T08:15:15Z
dc.date.issued2020-01-12
dc.identifier.citationNezir, V., Dutta, H. & Yazıcı, M. (2020). Large classes with the fixed point property in a degenerate Lorentz-Marcinkiewicz space. TWMS Journal of Applied and Engineering Mathematics, 10(SI), 85-96.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2880
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/107-vol10-special-issue/588
dc.description.abstractRecently, Nezir has renormed l¹ and observed that the resulting space turns out be a degenerate Lorentz-Marcinkiewicz space. Then, fixed point properties have been investigated for the space, its dual and its predual. Also, inspiring from the study of Goebel and Kuczumow, as they showed for the Banach space of absolutely summable sequences l¹, Nezir showed that a class of non-weak* compact, closed, convex and bounded sets in one of these spaces has the fixed point property for affine nonexpansive mappings. In fact, very recently, generalizing the equivalent norm on l¹, Nezir and Mustafa obtained new type of degenerate Lorentz-Marcinkiewicz spaces with their fixed point properties and got the analogy of Goebel and Kuczumow's for the resulting space. In this paper, we show that there exists large classes of non-weak* compact, closed, convex and bounded sets with the fixed point property for affine nonexpansive mappings in the generalized degenerate Lorentz-Marcinkiewicz space.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectNonexpansive mappingen_US
dc.subjectNonreflexive Banach spaceen_US
dc.subjectFixed point propertyen_US
dc.subjectClosed bounded convex seten_US
dc.subjectLorentz-Marcinkiewicz spacesen_US
dc.subjectBanach-saks propertyen_US
dc.subjectFixed point propertyen_US
dc.subjectJames constanten_US
dc.subjectNonexpansive mappingen_US
dc.titleLarge classes with the fixed point property in a degenerate Lorentz-Marcinkiewicz spaceen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume10
dc.identifier.issueSI
dc.identifier.startpage85
dc.identifier.endpage96
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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