Graphical structure of extended b-metric spaces: an application to the transverse oscillations of a homogeneous bar

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dc.authoridYounis, Mudasir/0000-0001-5499-4272
dc.contributor.authorYounis, Mudasir
dc.contributor.authorSingh, Deepak
dc.contributor.authorAltun, Ishak
dc.contributor.authorChauhan, Varsha
dc.date.accessioned2025-01-21T16:41:22Z
dc.date.available2025-01-21T16:41:22Z
dc.date.issued2022
dc.departmentKırıkkale Üniversitesi
dc.description.abstractThe purpose of this article is to present the notion of graphical extended b-metric spaces, blending the concepts of graph theory and metric fixed point theory. We discuss the structure of an open ball of the new proposed space and elaborate on the newly introduced ideas in a novel way by portraying suitably directed graphs. We also provide some examples in graph structure to show that our results are sharp as compared to the results in the existing state-of-art. Furthermore, an application to the transverse oscillations of a homogeneous bar is entrusted to affirm the applicability of the established results. Additionally, we evoke some open problems for enthusiastic readers for the future aspects of the study.
dc.identifier.doi10.1515/ijnsns-2020-0126
dc.identifier.endpage1252
dc.identifier.issn1565-1339
dc.identifier.issn2191-0294
dc.identifier.issue7-8
dc.identifier.scopus2-s2.0-85105326167
dc.identifier.scopusqualityQ2
dc.identifier.startpage1239
dc.identifier.urihttps://doi.org/10.1515/ijnsns-2020-0126
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24875
dc.identifier.volume23
dc.identifier.wosWOS:000738231900001
dc.identifier.wosqualityQ2
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWalter De Gruyter Gmbh
dc.relation.ispartofInternational Journal of Nonlinear Sciences and Numerical Simulation
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_20241229
dc.subjectdirected graph; fixed point; graphic contraction; graphical extended b-metric space; homogeneous bar
dc.titleGraphical structure of extended b-metric spaces: an application to the transverse oscillations of a homogeneous bar
dc.typeArticle

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