Frechet differentiation of nonlinear operators between fuzzy normed spaces

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dc.authorwosidYilmaz, Yilmaz/A-9582-2018
dc.contributor.authorYilmaz, Yilmaz
dc.date.accessioned2024-08-04T20:31:15Z
dc.date.available2024-08-04T20:31:15Z
dc.date.issued2009
dc.departmentİnönü Üniversitesien_US
dc.description.abstractBy the rapid advances in linear theory of fuzzy normed spaces and fuzzy bounded linear operators it is natural idea to set and improve its nonlinear peer. We aimed in this work to realize this idea by introducing fuzzy Frechet derivative based on the fuzzy norm definition in Bag and Samanta [Bag T, Samanta SK. Finite dimensional fuzzy normed linear spaces. J Fuzzy Math 2003; 11(3):687-705]. The definition is divided into two part as strong and weak fuzzy Frechet derivative so that it is compatible with strong and weak fuzzy continuity of operators. Also we restate fuzzy compact operator definition of Lael and Nouroizi [Lael F, Nouroizi K. Fuzzy compact linear operators. Chaos, Solitons & Fractals 2007;34(5):1584-89] as strongly and weakly fuzzy compact by taking into account the compatibility. We prove also that weak Frechet derivative of a nonlinear weakly fuzzy compact operator is also weakly fuzzy compact. (C) 2008 Elsevier Ltd. All rights reserved.en_US
dc.description.sponsorshipTUBITAK, The Scientific and Technological Research Council of Turkeyen_US
dc.description.sponsorshipThis work is supported by TUBITAK, The Scientific and Technological Research Council of Turkey.en_US
dc.identifier.doi10.1016/j.chaos.2008.02.011
dc.identifier.endpage484en_US
dc.identifier.issn0960-0779
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-67349210682en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage473en_US
dc.identifier.urihttps://doi.org/10.1016/j.chaos.2008.02.011
dc.identifier.urihttps://hdl.handle.net/11616/94820
dc.identifier.volume41en_US
dc.identifier.wosWOS:000267182500051en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPergamon-Elsevier Science Ltden_US
dc.relation.ispartofChaos Solitons & Fractalsen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subject2-Slit Experimenten_US
dc.subjectE-Infinityen_US
dc.subjectLinear-Operatorsen_US
dc.subjectPhysicsen_US
dc.subjectInclusionsen_US
dc.subjectSpectrumen_US
dc.subjectManifolden_US
dc.subjectSystemsen_US
dc.subjectModelsen_US
dc.subjectNumberen_US
dc.titleFrechet differentiation of nonlinear operators between fuzzy normed spacesen_US
dc.typeArticleen_US

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