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      Convergence of an iteration scheme in convex metric spaces

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          Abstract

          Abstract In this paper, a new iteration scheme in a uniformly convex metric space is defined and its convergence is obtained. A numerical example is also considered to compare the rate of convergences of the iteration with that of an existing iteration scheme.

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          Most cited references16

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          New Approximation Schemes for General Variational Inequalities

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            Mean Value Methods in Iteration

            W. Mann (1953)
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              A convexity in metric space and nonexpansive mappings. I.

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                Author and article information

                Journal
                proy
                Proyecciones (Antofagasta)
                Proyecciones (Antofagasta)
                Universidad Católica del Norte, Departamento de Matemáticas (Antofagasta, , Chile )
                0716-0917
                June 2022
                : 41
                : 3
                : 777-790
                Affiliations
                [1] Manipur orgnameChurachandpur College orgdiv1Department of Mathematics India mark02mm@ 123456yahoo.co.in
                Article
                S0716-09172022000300777 S0716-0917(22)04100300777
                10.22199/issn.0717-6279-4910
                8c0a3eab-1a9d-4015-9e85-e4f5dcd3da7e

                This work is licensed under a Creative Commons Attribution 4.0 International License.

                History
                : 30 October 2021
                : 30 May 2021
                Page count
                Figures: 0, Tables: 0, Equations: 0, References: 16, Pages: 14
                Product

                SciELO Chile


                fundamentally non- expansive mappings,iteration scheme,convergence,Convex metric space

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