On the local convergence of a third-order iterative scheme in Banach spaces

DOI10.1007/S12215-020-00500-XOpenAlexW3087948608MaRDI QIDQ2024417

Sanjaya Kumar Parhi, Debasis Sharma

Publication date: 4 May 2021

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-020-00500-x

zbMATH Keywords

Banach spacelocal convergenceiterative schemesHölder continuity conditionLipschitz continuity condition

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical solutions to equations with nonlinear operators (65J15) Numerical approximation and computational geometry (primarily algorithms) (65D99) Nonlinear operators and their properties (47H99) Error analysis and interval analysis (65G99)

Related Items (5)

Extending the applicability and convergence domain of a higher-order iterative algorithm under \(\omega\) condition ⋮ Extending the convergence domain of deformed Halley method under \(\omega\) condition in Banach spaces ⋮ On the convergence, dynamics and applications of a new class of nonlinear system solvers ⋮ Convergence of Traub's iteration under \(\omega\) continuity condition in Banach spaces ⋮ On the Local Convergence of a Sixth-Order Iterative Scheme in Banach Spaces

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