A convergence analysis for extended iterative algorithms with applications to fractional and vector calculus

DOI10.4064/AM2272-4-2017zbMath1382.65152OpenAlexW2749623432MaRDI QIDQ4595456

George A. Anastassiou, Ioannis K. Argyros

Publication date: 30 November 2017

Published in: Applicationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4064/am2272-4-2017

zbMATH Keywords

iterative algorithmBanach spacenonlinear operator equationfractional calculusNewton-Kantorovich methodSteffensen's methodvector calculusgeneralized fractional derivativessemilocal-local convergence

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fractional derivatives and integrals (26A33) Numerical solutions to equations with nonlinear operators (65J15)

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