On semilocal convergence of three-step Kurchatov method under weak condition

نویسندگان

چکیده

Abstract The purpose of this paper to establish the semilocal convergence analysis three-step Kurchatov method under weaker conditions in Banach spaces. We construct recurrence relations assumption that involved first-order divided difference operators satisfy $$\omega $$ ω condition. Theorems are given for existence-uniqueness balls enclosing unique solution. application iterative is shown by solving nonlinear system equations and Hammerstein-type integral equations. It illustrates theoretical development study.

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ژورنال

عنوان ژورنال: Arabian Journal of Mathematics

سال: 2021

ISSN: ['2193-5343', '2193-5351']

DOI: https://doi.org/10.1007/s40065-020-00308-8