BROADENING THE CONVERGENCE DOMAIN OF SEVENTH-ORDER METHOD SATISFYING LIPSCHITZ AND HOLDER CONDITIONS
نویسندگان
چکیده
The local convergence analysis of a seventh order algorithm for solving nonlinear equations is presented inthe current discussion by assuming that the ?rst-order Fréchet derivative belongs to Lipschitz class. Thisapproach yields radii ball, error bound and uniqueness solution. Further, generalizationof study extended considering Hölder continuity condition. At last, we estimated theconvergence balls using variety numerical examples, including Hammerstein equation.
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ژورنال
عنوان ژورنال: Results in nonlinear analysis
سال: 2022
ISSN: ['2636-7556']
DOI: https://doi.org/10.53006/rna.1146027