Optimal solutions of minimization problems via new best proximity point results on quasi metric spaces

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dc.contributor.authorAlabdullah, Raid Abdulhadi Abdulqader
dc.contributor.authorSahin, Hakan
dc.contributor.authorAslantas, Mustafa
dc.contributor.authorAltun, Ishak
dc.date.accessioned2026-02-08T15:16:03Z
dc.date.available2026-02-08T15:16:03Z
dc.date.issued2025
dc.departmentBursa Teknik Üniversitesi
dc.description.abstractIn this paper, we prove some Boyd-Wong type best proximity point results in the setting of quasi metric spaces via Q-functions. First, we modify the fundamental concepts and notations in the best proximity point theory by taking into account unsymmetrical condition of quasi metric spaces. We provide some illustrative examples to examine our notations. Then, we introduce new concepts so called proximal BW-contraction and best BW-contraction mappings. Hence, we obtain best proximity point results for such mappings. Also, we give some nontrivial and comparative examples to show the effectiveness of our results. Next, we provide some corollaries and consequences to partial metric spaces of our main results. Finally, we present an existence and uniqueness result for nonlinear Volterra integral equations.
dc.identifier.doi10.37193/CJM.2025.03.07
dc.identifier.endpage728
dc.identifier.issn1584-2851
dc.identifier.issn1843-4401
dc.identifier.issue3
dc.identifier.scopus2-s2.0-105007851237
dc.identifier.scopusqualityQ1
dc.identifier.startpage711
dc.identifier.urihttps://doi.org/10.37193/CJM.2025.03.07
dc.identifier.urihttps://hdl.handle.net/20.500.12885/6101
dc.identifier.volume41
dc.identifier.wosWOS:001498251400001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherNorth Univ Baia Mare
dc.relation.ispartofCarpathian Journal of Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzWOS_KA_20260207
dc.subjectBest proximity point
dc.subjectquasi metric space
dc.subjectQ-functions
dc.subjectintegral equation
dc.titleOptimal solutions of minimization problems via new best proximity point results on quasi metric spaces
dc.typeArticle

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