Characterization of a b-metric space completeness via the existence of a fixed point of Ciric-Suzuki type quasi-contractive multivalued operators and applications

dc.contributor.authorAlolaiyan, Hanan
dc.contributor.authorAli, Basit
dc.contributor.authorAbbas, Mujahid
dc.date.accessioned2020-07-11T08:30:28Z
dc.date.available2020-07-11T08:30:28Z
dc.date.issued2019
dc.description.abstractThe aim of this paper is to introduce Ciric-Suzuki type quasi-contractive multivalued operators and to obtain the existence of fixed points of such mappings in the framework of b-metric spaces. Some examples are presented to support the results proved herein. We establish a characterization of strong b-metric and b-metric spaces completeness. An asymptotic estimate of a Hausdorff distance between the fixed point sets of two Ciric-Suzuki type quasi-contractive multivalued operators is obtained. As an application of our results, existence and uniqueness of multivalued fractals in the framework of b-metric spaces is proved.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.librarianam2020en_ZA
dc.description.sponsorshipThe authors extend their appreciation to the International Scienti c partnership program (ISPP) at King Saud University for funding this research work through ISPP#0034.en_ZA
dc.description.sponsorshipThe International Scienti c partnership program (ISPP) at King Saud University.en_ZA
dc.description.urihttp://www.anstuocmath.roen_ZA
dc.identifier.citationAlolaiyan, H., Ali, B. & Abbas, M. 2019, 'Characterization of a b-metric space completeness via the existence of a fixed point of Ciric-Suzuki type quasi-contractive multivalued operators and applications', Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, vol. 27, no. 1, pp. 5-33.en_ZA
dc.identifier.issn1224-1784 (print)
dc.identifier.issn1844-0835 (online)
dc.identifier.other10.2478/auom-2019-0001
dc.identifier.urihttp://hdl.handle.net/2263/75148
dc.language.isoenen_ZA
dc.publisherOvidius University, Constantaen_ZA
dc.rightsOvidius University, Constantaen_ZA
dc.subjectMultivalued mappingen_ZA
dc.subjectFixed pointen_ZA
dc.subjectStabilityen_ZA
dc.subjectMultivalued fractalsen_ZA
dc.subjectb-Metric spacesen_ZA
dc.titleCharacterization of a b-metric space completeness via the existence of a fixed point of Ciric-Suzuki type quasi-contractive multivalued operators and applicationsen_ZA
dc.typeArticleen_ZA

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