Fixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New Algorithm

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dc.contributor.authorKalsoom, Amna
dc.contributor.authorRashid, Maliha
dc.contributor.authorSun, Tian-Chuan
dc.contributor.authorBibi, Amna
dc.contributor.authorGhaffar, Abdul
dc.contributor.authorİnç, Mustafa
dc.contributor.authorAly, Ayman A.
dc.date.accessioned2026-08-12T18:07:00Z
dc.date.issued2021
dc.departmentFırat Üniversitesi
dc.description.abstractIn this article, we consider an extensive class of monotone nonexpansive mappings and introduce a new iteration algorithm to approximate the fixed point for monotone total asymptotically nonexpansive mappings in the framework of hyperbolic space. Faster convergence and stability results are proved for that iteration; also, fixed point is approximated numerically in a nontrivial example by using MATLAB.
dc.description.sponsorshipNational Natural Science Foundation of China [11971142, 11871202, 61673169, 11701176, 11626101, 11601485]; Taif University, Taif, Saudi Arabia [TURSP-2020/77]
dc.description.sponsorshipThe research was supported by the National Natural Science Foundation of China (Grant Nos. 11971142, 11871202, 61673169, 11701176, 11626101, and 11601485) and the Taif University Researchers Supporting Project number (TURSP-2020/77), Taif University, Taif, Saudi Arabia.
dc.identifier.doi10.1155/2021/8482676
dc.identifier.issn2314-8896
dc.identifier.issn2314-8888
dc.identifier.orcid0000-0003-4996-8373
dc.identifier.orcid0000-0001-5044-1902
dc.identifier.orcid0000-0002-5994-8440
dc.identifier.scopus2-s2.0-85112525548
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1155/2021/8482676
dc.identifier.urihttps://hdl.handle.net/11508/62539
dc.identifier.volume2021
dc.identifier.wosWOS:000684336000001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherWiley
dc.relation.ispartofJournal of Function Spaces
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20260511
dc.subjectIteration
dc.subjectApproximation
dc.titleFixed Points of Monotone Total Asymptotically Nonexpansive Mapping in Hyperbolic Space via New Algorithm
dc.typeArticle

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