A new type of R-contraction and its best proximity points

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dc.contributor.authorAslantas, Mustafa
dc.contributor.authorSahin, Hakan
dc.contributor.authorAltun, Ishak
dc.contributor.authorSaadoon, Taif Hameed Saadoon
dc.date.accessioned2025-01-21T16:35:09Z
dc.date.available2025-01-21T16:35:09Z
dc.date.issued2024
dc.departmentKırıkkale Üniversitesi
dc.description.abstractIn this paper, we aim to overcome the problem given by Abkar et al. [Abstr. Appl. Anal., 2013 (2013), 189567], and so to obtain real generalizations of fixed point results in the literature. In this direction, we introduce a new class of functions, which include R-functions. Thus, we present a new type of R-contraction and weaken R-contractions that have often been studied recently. We also give a new definition of the P-property. Hence, we obtain some best proximity point results, including fixed point results for the new kind of R-contractions. Then, we provide an example to show the effectiveness of our results. Finally, inspired by a nice and interesting technique, we investigate the existence of a best proximity point of the homotopic mappings with the help of our main result.
dc.identifier.doi10.3934/math.2024474
dc.identifier.endpage9704
dc.identifier.issn2473-6988
dc.identifier.issue4
dc.identifier.scopus2-s2.0-85187426016
dc.identifier.scopusqualityQ1
dc.identifier.startpage9692
dc.identifier.urihttps://doi.org/10.3934/math.2024474
dc.identifier.urihttps://hdl.handle.net/20.500.12587/24087
dc.identifier.volume9
dc.identifier.wosWOS:001181369600005
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241229
dc.subjectR-contractions; homotopy; best proximity point; fixed point
dc.titleA new type of R-contraction and its best proximity points
dc.typeArticle

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