New insights on a pair of quasi-contractive operators in Banach spaces: Results on Jungck type iteration algorithms and proposed open problems

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dc.contributor.authorCopur, Aysegul Keten
dc.contributor.authorHacioglu, Emirhan
dc.contributor.authorGursoy, Faik
dc.date.accessioned2024-02-23T14:13:08Z
dc.date.available2024-02-23T14:13:08Z
dc.date.issued2024
dc.departmentNEÜen_US
dc.description.abstractIn this paper, we explore relationships among the pairs of various well-known contractive type operators in Banach spaces. We also present a novel Jungck type iteration algorithm for a pair of quasi-contractive operators, which is thoroughly investigated in terms of strong convergence, stability, and data dependency. To demonstrate the efficacy of the proposed algorithm and reliability of each of the mentioned results, we furnish illustrative academic examples including both linear and nonlinear DEs. Furthermore, we present several open problems that warrant further study. Our results complement recent findings in the literature and contribute to further development in this area. (c) 2023 International Association for Mathematics and Computers in Simulation (IMACS). Published by Elsevier B.V. All rights reserved.en_US
dc.identifier.doi10.1016/j.matcom.2023.08.026
dc.identifier.endpage497en_US
dc.identifier.issn0378-4754
dc.identifier.issn1872-7166
dc.identifier.scopus2-s2.0-85169795835en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage476en_US
dc.identifier.urihttps://doi.org/10.1016/j.matcom.2023.08.026
dc.identifier.urihttps://hdl.handle.net/20.500.12452/12326
dc.identifier.volume215en_US
dc.identifier.wosWOS:001086301700001en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherElsevieren_US
dc.relation.ispartofMathematics And Computers In Simulationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectCoincidence Pointen_US
dc.subjectData Dependencyen_US
dc.subjectJungck Type Algorithmen_US
dc.subjectQuasi Contractive Operatoren_US
dc.subjectStabilityen_US
dc.subjectStrong Convergenceen_US
dc.titleNew insights on a pair of quasi-contractive operators in Banach spaces: Results on Jungck type iteration algorithms and proposed open problemsen_US
dc.typeArticleen_US

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