Approximation of fixed point of generalized non-expansive mapping via new faster iterative scheme in metric domain

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dc.authoridMuhammad, Noor/0000-0002-7036-7698
dc.authoridAsghar, Ali/0009-0009-3746-2931
dc.authoridkhalil, eied/0009-0005-9377-5861
dc.authoridkhalil, eied/0000-0003-0189-845X
dc.contributor.authorMuhammad, Noor
dc.contributor.authorAsghar, Ali
dc.contributor.authorIrum, Samina
dc.contributor.authorAkgul, Ali
dc.contributor.authorKhalil, E. M.
dc.contributor.authorInc, Mustafa
dc.date.accessioned2024-12-24T19:34:03Z
dc.date.available2024-12-24T19:34:03Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, we establish a new iterative process for approximation of fixed points for contraction mappings in closed, convex metric space. We conclude that our iterative method is more accurate and has very fast results from previous remarkable iteration methods like Picard-S, Thakur new, Vatan Two-step and K-iterative process for contraction. Stability of our iteration method and data dependent results for contraction mappings are exact, correspondingly on testing our iterative method is advanced. Finally, we prove enquiring results for some weak and strong convergence theorems of a sequence which is generated from a new iterative method, Suzuki generalized non-expansive mappings with condition (C) in uniform convexity of metric space. Our results are addition, enlargement over and above generalization for some well-known conclusions with literature for theory of fixed point.
dc.description.sponsorshipTaif University, Taif, Saudi Arabia [TURSP 2020/17]
dc.description.sponsorshipThis study was supported by the Taif University Researchers Supporting Project (No. TTURSP 2020/17), Taif University, Taif, Saudi Arabia.
dc.identifier.doi10.3934/math.2023149
dc.identifier.endpage2870
dc.identifier.issn2473-6988
dc.identifier.issue2
dc.identifier.scopus2-s2.0-85142239836
dc.identifier.scopusqualityQ1
dc.identifier.startpage2856
dc.identifier.urihttps://doi.org/10.3934/math.2023149
dc.identifier.urihttps://hdl.handle.net/20.500.12604/8403
dc.identifier.volume8
dc.identifier.wosWOS:000980182500005
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherAmer Inst Mathematical Sciences-Aims
dc.relation.ispartofAims Mathematics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectSuzuki generalized non expansive mapping
dc.subjectuniformly convex metric space
dc.subjectiteration process
dc.subjectweak convergence
dc.subjectstrong convergence
dc.subjectcondition (C)
dc.titleApproximation of fixed point of generalized non-expansive mapping via new faster iterative scheme in metric domain
dc.typeArticle

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