Finding a solution to an optimization problem for the homotopic mappings via some best proximity point results

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dc.authorid0000-0003-4338-3518
dc.contributor.authorSahin, Hakan
dc.contributor.authorAslantas, Mustafa
dc.contributor.authorSimo, Layla Khudhur Saeed
dc.date.accessioned2026-02-08T15:15:07Z
dc.date.available2026-02-08T15:15:07Z
dc.date.issued2024
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractIn this paper, we introduce the concepts of the modified weak P-rho-property and Suzuki type F-alpha,F-rho-contraction mapping on quasi metric spaces. Then, we prove some left and right best proximity point results for such mappings on quasi metric spaces. Hence, we give an affirmative answer to the question in Altun (Journal of Nonlinear and Convex Analysis 16(4):659-666, 2015) for closed and bounded valued mappings. Also, we provide some comparative examples to show the effectiveness of the results in the current paper. Finally, we obtain a best proximity point result for the homotopic mappings by using our results.
dc.identifier.doi10.1007/s41478-023-00697-x
dc.identifier.endpage1567
dc.identifier.issn0971-3611
dc.identifier.issn2367-2501
dc.identifier.issue3
dc.identifier.scopus2-s2.0-85182164818
dc.identifier.scopusqualityQ2
dc.identifier.startpage1545
dc.identifier.urihttps://doi.org/10.1007/s41478-023-00697-x
dc.identifier.urihttps://hdl.handle.net/20.500.12885/5604
dc.identifier.volume32
dc.identifier.wosWOS:001141055500001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherSpringernature
dc.relation.ispartofJournal of Analysis
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzWOS_KA_20260207
dc.subjectBest proximity point
dc.subjectF-contraction
dc.subjectQuasi metric spaces
dc.subjectHomotopy
dc.titleFinding a solution to an optimization problem for the homotopic mappings via some best proximity point results
dc.typeArticle

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