On a class of Newton-like methods for solving nonlinear equations |
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Authors: | Ioannis K Argyros |
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Institution: | Cameron University, Department of Mathematical Sciences, Lawton, OK 73505, USA |
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Abstract: | We provide a semilocal convergence analysis for a certain class of Newton-like methods considered also in I.K. Argyros, A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space, J. Math. Anal. Appl. 298 (2004) 374–397; I.K. Argyros, Computational theory of iterative methods, in: C.K. Chui, L. Wuytack (Eds.), Series: Studies in Computational Mathematics, vol. 15, Elsevier Publ. Co, New York, USA, 2007; J.E. Dennis, Toward a unified convergence theory for Newton-like methods, in: L.B. Rall (Ed.), Nonlinear Functional Analysis and Applications, Academic Press, New York, 1971], in order to approximate a locally unique solution of an equation in a Banach space. |
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Keywords: | 65K10 65G99 65J99 49M15 49J53 47J20 47H04 |
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