Iterative convergence with Banach space valued functions in abstract fractional calculus

DOI10.1515/AWUTM-2017-0012OpenAlexW2782982707MaRDI QIDQ2679534

Ioannis K. Argyros, George A. Anastassiou

Publication date: 23 January 2023

Published in: Analele Universității de Vest din Timișoara. Seria Matematică-Informatică (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/awutm-2017-0012

zbMATH Keywords

iterative methodBanach spacefractional calculussemi-local convergenceBochner-type integral

Mathematics Subject Classification ID

Numerical computation of solutions to systems of equations (65H10) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Fractional derivatives and integrals (26A33) Classical Banach spaces in the general theory (46B25) Error analysis and interval analysis (65G99)

Cites Work

• 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
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