Some new results for a class of multivalued interpolative Kannan-type contractions

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dc.contributor.authorKonwar, Nabanita
dc.contributor.authorSrivastava, Rekha
dc.contributor.authorDebnath, Pradip
dc.contributor.authorSrivastava, H.M.
dc.date.accessioned2022-10-25T16:23:33Z
dc.date.available2022-10-25T16:23:33Z
dc.date.copyright2022en_US
dc.date.issued2022
dc.description.abstractIn this paper, we introduce the notion of multivalued interpolative Kannan-type contractions. We also introduce a more general version of this notion by relaxing the degrees of freedom of the powers arising in the contractive condition. Gaba et al. (2021) recently pointed out a significant error in the paper of Gaba and Karapinar (2019), showing that a particular type of generalized interpolative Kannan-type contraction does not posses a fixed point in general in a complete metric space. Thus, the study of generalized Kannan-type mappings remains an interesting and mathematically challenging area of research. The main aim of this article is to address such existing results for multivalued mappings. We also investigate common fixed points for this type of contractions. Our results extend and unify some existing results in the literature.en_US
dc.description.reviewstatusRevieweden_US
dc.description.scholarlevelFacultyen_US
dc.identifier.citationKonwar, N., Srivastava, R., Debnath, P., & Srivastava, H. (2022). “Some new results for a class of multivalued interpolative Kannan-type contractions.” Axioms, 11(2), 76. https://doi.org/10.3390/axioms11020076en_US
dc.identifier.urihttps://doi.org/10.3390/axioms11020076
dc.identifier.urihttp://hdl.handle.net/1828/14311
dc.language.isoenen_US
dc.publisherAxiomsen_US
dc.subjectfixed point
dc.subjectKannan-type contraction
dc.subjectinterpolative map
dc.subjectmultivalued map
dc.subjectcontraction map
dc.subjectcommon fixed point
dc.subjectdifferential equation
dc.subjectintegral equation
dc.subjectmetric space
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titleSome new results for a class of multivalued interpolative Kannan-type contractionsen_US
dc.typeArticleen_US

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