Generalized iterative procedures and their applications to Banach space valued functions in abstract fractional calculus

DOI10.1007/s40324-017-0130-4zbMath1468.65053OpenAlexW2730213634MaRDI QIDQ725380

George A. Anastassiou, Ioannis K. Argyros

Publication date: 1 August 2018

Published in: S\(\vec{\text{e}}\)MA Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40324-017-0130-4

zbMATH Keywords

Banach spacefractional calculussemi-local convergenceBochner-type integralexplicit-implicit iterative method

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iterative procedures involving nonlinear operators (47J25) Fractional derivatives and integrals (26A33) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• A new tool to study real dynamics: the convergence plane
• A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
• Chaotic dynamics of a third-order Newton-type method
• Differential equation s in abstract spaces
• New general convergence theory for iterative processes and its applications to Newton-Kantorovich type theorems
• Iterative Methods and Their Dynamics with Applications
• On Fixed and Periodic Points Under Contractive Mappings
• Strong right fractional calculus for Banach space valued functions

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