Some Fixed-Point Results for the KF-Iteration Process in Hyperbolic Metric Spaces

Sahin, Aynur; Ozturk, Emre; Aggarwal, Gaurav

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dc.contributor.authors	Sahin, A; Öztürk, E; Aggarwal, G
dc.date.accessioned	2024-02-23T11:45:11Z
dc.date.available	2024-02-23T11:45:11Z
dc.date.issued	2023
dc.identifier.uri	http://dx.doi.org/10.3390/sym15071360
dc.identifier.uri	https://hdl.handle.net/20.500.12619/102173
dc.description	Bu yayın 06.11.1981 tarihli ve 17506 sayılı Resmî Gazete’de yayımlanan 2547 sayılı Yükseköğretim Kanunu’nun 4/c, 12/c, 42/c ve 42/d maddelerine dayalı 12/12/2019 tarih, 543 sayılı ve 05 numaralı Üniversite Senato Kararı ile hazırlanan Sakarya Üniversitesi Açık Bilim ve Açık Akademik Arşiv Yönergesi gereğince açık akademik arşiv sistemine açık erişim olarak yüklenmiştir.
dc.description.abstract	In this paper, we modify the KF-iteration process into hyperbolic metric spaces where the symmetry condition is satisfied and establish the weak w(2)-stability and data dependence results for contraction mappings. We also prove some D-convergence and strong convergence theorems for generalized (alpha,beta)-nonexpansive type 1 mappings. Finally, we offer a numerical example of generalized (alpha,beta)-nonexpansive type 1 mappings and show that the KF-iteration process is more effective than some other iterations. Our results generalize and improve several relevant results in the literature.
dc.language	English
dc.language.iso	eng
dc.publisher	MDPI
dc.relation.isversionof	10.3390/sym15071360
dc.subject	generalized (alpha,beta)-nonexpansive mapping
dc.subject	hyperbolic metric space
dc.subject	the KF-iteration process
dc.subject	fixed-point theorem
dc.subject	data dependence
dc.subject	weak w(2)-stability
dc.title	Some Fixed-Point Results for the KF-Iteration Process in Hyperbolic Metric Spaces
dc.type	Article
dc.identifier.volume	15
dc.relation.journal	SYMMETRY-BASEL
dc.identifier.issue	7
dc.identifier.doi	10.3390/sym15071360
dc.identifier.eissn	2073-8994
dc.contributor.author	Sahin, Aynur
dc.contributor.author	Ozturk, Emre
dc.contributor.author	Aggarwal, Gaurav
dc.relation.publicationcategory	Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rights.openaccessdesignations	gold