Argyros, I. K. A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space. (English) Zbl 1061.47052 Simos, T. E. (ed.) et al., ICNAAM 2004. International conference on numerical analysis and applied mathematics 2004, Chalkis, Greece, September 10–14, 2004. Official conference of the European Society of Computational Methods in Science and Engineering (ESCMSE). Weinheim: Wiley-VCH (ISBN 3-527-40563-1/hbk). 24-25 (2004). For the entire collection see [Zbl 1056.65002]. Cited in 1 Document MSC: 47J05 Equations involving nonlinear operators (general) 47J25 Iterative procedures involving nonlinear operators 65J15 Numerical solutions to equations with nonlinear operators (do not use 65Hxx) Keywords:two-point Newton method; center-Lipschitz conditions; convergence conditions; error bounds; Newton–Kantorovich hypothesis; convergence radius PDF BibTeX XML Cite \textit{I. K. Argyros}, in: ICNAAM 2004. International conference on numerical analysis and applied mathematics 2004, Chalkis, Greece, September 10--14, 2004. Official conference of the European Society of Computational Methods in Science and Engineering (ESCMSE). Weinheim: Wiley-VCH. 24--25 (2004; Zbl 1061.47052)