Convergence analysis of some faster iterative schemes for G-nonexpansive mappings in convex metric spaces endowed with a graph

dc.contributor.authorOkeke, Godwin Amechi
dc.contributor.authorAbbas, Mujahid
dc.date.accessioned2021-09-22T14:32:06Z
dc.date.available2021-09-22T14:32:06Z
dc.date.issued2020-09
dc.description.abstractWe propose two iterative schemes for three G-nonexpansive mappings and present their convergence analysis in the framework of a convex metric space endowed with a directed graph. Some numerical examples are given to support the claim that the proposed iterative schemes converge faster than all of Mann, Ishikawa and Noor iteration schemes. Our results generalize and extend several known results to the setup of a convex metric space endowed with a directed graphic structure, including the results in [S. Suantai, M. Donganont, W. Cholamjiak, Hybrid methods for a countable family of G- nonexpansive mappings in Hilbert spaces endowed with graphs, Mathematics (2019)].en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.librarianam2021en_ZA
dc.description.urihttp://thaijmath.in.cmu.ac.then_ZA
dc.identifier.citationOkeke, G.A. & Abbas, M. 2020, 'Convergence analysis of some faster iterative schemes for G-nonexpansive mappings in convex metric spaces endowed with a graph', Thai Journal of Mathematics, vol. 18, no. 3, pp. 1475-1496.en_ZA
dc.identifier.issn1686-0209
dc.identifier.urihttp://hdl.handle.net/2263/81944
dc.language.isoenen_ZA
dc.publisherMathematical Association of Thailanden_ZA
dc.rights© 2020 by TJMen_ZA
dc.subjectDirected graphen_ZA
dc.subjectConvex metric spaces endowed with a directed graphen_ZA
dc.subjectIterative schemesen_ZA
dc.subjectXed pointen_ZA
dc.titleConvergence analysis of some faster iterative schemes for G-nonexpansive mappings in convex metric spaces endowed with a graphen_ZA
dc.typeArticleen_ZA

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