Global optimization and common best proximity points for some multivalued contractive pairs of mappings

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dc.contributor.authorDebnath, Pradip
dc.contributor.authorSrivastava, H.M.
dc.date.accessioned2022-11-30T19:27:20Z
dc.date.available2022-11-30T19:27:20Z
dc.date.copyright2020en_US
dc.date.issued2020
dc.description.abstractIn this paper, we study a problem of global optimization using common best proximity point of a pair of multivalued mappings. First, we introduce a multivalued Banach-type contractive pair of mappings and establish criteria for the existence of their common best proximity point. Next, we put forward the concept of multivalued Kannan-type contractive pair and also the concept of weak D-property to determine the existence of common best proximity point for such a pair of maps.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.description.sponsorshipThe first author (P. Debnath) acknowledges the UGC-BSR Start-Up Grant vide letter No. F.30-452/2018(BSR) dated 12 Feb 2019 (Ministry of HRD, Govt. of India).en_US
dc.identifier.citationDebnath, P. & Srivastava, H. M. (2020). “Global optimization and common best proximity points for some multivalued contractive pairs of mappings.” Axioms, 9(3), 102. https://doi.org/10.3390/axioms9030102en_US
dc.identifier.urihttps://doi.org/10.3390/axioms9030102
dc.identifier.urihttp://hdl.handle.net/1828/14536
dc.language.isoenen_US
dc.publisherAxiomsen_US
dc.subjectcommon best proximity point
dc.subjectfixed point
dc.subjectcontraction map
dc.subjectcomplete metric space
dc.subjectmultivalued map
dc.subjectoptimization
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleGlobal optimization and common best proximity points for some multivalued contractive pairs of mappingsen_US
dc.typeArticleen_US

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