Some Fixed-Point Theorems in Proximity Spaces with Applications

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dc.authoridQasim, Muhammad/0000-0001-9485-8072
dc.authoridAltun, Ishak/0000-0002-7967-0554
dc.contributor.authorQasim, Muhammad
dc.contributor.authorAlamri, Hind
dc.contributor.authorAltun, Ishak
dc.contributor.authorHussain, Nawab
dc.date.accessioned2025-01-21T16:44:27Z
dc.date.available2025-01-21T16:44:27Z
dc.date.issued2022
dc.departmentKırıkkale Üniversitesi
dc.description.abstractConsidering the omega-distance function defined by Kostic in proximity space, we prove the Matkowski and Boyd-Wong fixed-point theorems in proximity space using omega-distance, and provide some examples to explain the novelty of our work. Moreover, we characterize Edelstein-type fixed-point theorem in compact proximity space. Finally, we investigate an existence and uniqueness result for solution of a kind of second-order boundary value problem via obtained Matkowski-type fixed-point results under some suitable conditions.
dc.identifier.doi10.3390/math10101724
dc.identifier.issn2227-7390
dc.identifier.issue10
dc.identifier.scopus2-s2.0-85130942860
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.3390/math10101724
dc.identifier.urihttps://hdl.handle.net/20.500.12587/25464
dc.identifier.volume10
dc.identifier.wosWOS:000801661500001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherMdpi
dc.relation.ispartofMathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectfixed point; proximity spaces; phi-contraction; omega-distance
dc.titleSome Fixed-Point Theorems in Proximity Spaces with Applications
dc.typeArticle

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