Fixed-Point Study of Generalized Rational Type Multivalued Contractive Mappings on Metric Spaces with a Graph
dc.contributor.author | Choudhury, Binayak S. | |
dc.contributor.author | Metiya, Nikhilesh | |
dc.contributor.author | Khatua, Debashis | |
dc.contributor.author | De la Sen Parte, Manuel | |
dc.date.accessioned | 2021-03-30T08:53:27Z | |
dc.date.available | 2021-03-30T08:53:27Z | |
dc.date.issued | 2021-03-11 | |
dc.identifier.citation | Axioms 10(1) : (2021) // Article ID 31 (2021) | es_ES |
dc.identifier.issn | 2075-1680 | |
dc.identifier.uri | http://hdl.handle.net/10810/50822 | |
dc.description.abstract | The main result of this paper is a fixed-point theorem for multivalued contractions obtained through an inequality with rational terms. The contraction is an F-type contraction. The results are obtained in a metric space endowed with a graph. The main theorem is supported by illustrative examples. Several results as special cases are obtained by specific choices of the control functions involved in the inequality. The study is broadly in the domain of setvalued analysis. The methodology of the paper is a blending of both graph theoretic and analytic methods. | es_ES |
dc.description.sponsorship | This paper has been supported by the Basque Government though Grant T1207-19. | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | MDPI | es_ES |
dc.rights | info:eu-repo/semantics/openAccess | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | |
dc.rights.uri | http://creativecommons.org/licenses/by/3.0/es/ | |
dc.subject | fixed-point | es_ES |
dc.subject | multivalued maps | es_ES |
dc.subject | F-contraction | es_ES |
dc.subject | directed graph | es_ES |
dc.subject | metric space | es_ES |
dc.title | Fixed-Point Study of Generalized Rational Type Multivalued Contractive Mappings on Metric Spaces with a Graph | es_ES |
dc.type | info:eu-repo/semantics/article | es_ES |
dc.date.updated | 2021-03-26T14:06:21Z | |
dc.rights.holder | 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/). | es_ES |
dc.relation.publisherversion | https://www.mdpi.com/2075-1680/10/1/31/htm | es_ES |
dc.identifier.doi | 10.3390/axioms10010031 | |
dc.departamentoes | Electricidad y electrónica | |
dc.departamentoeu | Elektrizitatea eta elektronika |
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Except where otherwise noted, this item's license is described as 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).