Abstract
The purpose of this paper is to study a semilocal convergence result for the King-Werner iterative method in Banach space setting under a gamma-type condition. The convergence of the method is established under weaker conditions than those used in previous works; we only use hypotheses up to the second Fréchet derivative of the involved operator. In addition, we illustrate the applicability of our result with some numerical examples.
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The first and the third author wish to thank the Universidad del Cauca for supporting this work through research project VRI ID 5464.
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Cárdenas, E., Castro, R. & Sierra, W. Convergence analysis for the King-Werner method under \(\gamma -\)conditions. J. Appl. Math. Comput. 68, 4605–4620 (2022). https://doi.org/10.1007/s12190-022-01720-3
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DOI: https://doi.org/10.1007/s12190-022-01720-3