Fixed point iterations for Prešić-Kannan nonexpansive mappings in product convex metric spaces

DOI10.2478/ausm-2018-0005OpenAlexW2889597750MaRDI QIDQ1737376

Vasile Berinde, Hafiz Fukhar-ud-din

Publication date: 27 March 2019

Published in: Acta Universitatis Sapientiae. Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2478/ausm-2018-0005

zbMATH Keywords

convergencefixed pointconvex metric spaceMann iterative algorithmPrešić Kannan nonexpansive mapping

Mathematics Subject Classification ID

Numerical methods based on necessary conditions (49M05) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Weak and strong convergence theorems for the Krasnoselskij iterative algorithm in the class of enriched strictly pseudocontractive operators ⋮ Geraghty type contractions in fuzzy b-metric spaces with application to integral equations

Cites Work

• Coupled solutions for a bivariate weakly nonexpansive operator by iterations
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• Strong convergence of a general iteration scheme in \(CAT(0)\) spaces
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• Fixed points of multivalued mappings in certain convex metric spaces
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• A Fixed Point Free Nonexpansive Map
• An Introduction to Metric Spaces and Fixed Point Theory
• Some results on fixed points — IV
• Fixed Point Theorems in Reflexive Banach Spaces
• Mean Value Methods in Iteration
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