A modified Halpern-type iteration algorithm for totally quasi-\(\phi \)-asymptotically nonexpansive mappings with applications

DOI10.1016/j.amc.2011.12.019zbMath1252.65097OpenAlexW2006179481MaRDI QIDQ422897

J. Herrera, H. S. Yoon

Publication date: 18 May 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.12.019

zbMATH Keywords

nonexpansive mappingrelatively nonexpansive mappingweak relatively nonexpansive mappingquasi-\(\phi \)-nonexpansive mappingHalpern-type iteration algorithmquasi-\(\phi \)-symptotically nonexpansive mappingtotal quasi-\(\phi \)-symptotically nonexpansive mapping

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

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