# Search results for: Ioannis K. Argyros

Mathematical Methods in the Applied Sciences > 45 > 6 > 3295 - 3304

Mathematical Methods in the Applied Sciences > 44 > 9 > 7747 - 7755

*k*‐step solvers for equations involving operators on Banach spaces. Their convergence is estimated by adopting hypotheses on high‐order derivatives which are not even in these iterative solvers. In addition, no computable error bounds or information on the uniqueness of the solution based on Lipschitz‐type functions are given. Moreover, the choice of the initial guess is like...

Mathematical Methods in the Applied Sciences > 43 > 13 > 7518 - 7536

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales.... > 2019 > 113 > 3 > 2813-2826

Indian Journal of Pure and Applied Mathematics > 2019 > 50 > 1 > 1-13

Journal of Mathematical Chemistry > 2019 > 57 > 5 > 1508-1523

Mediterranean Journal of Mathematics > 2019 > 16 > 1 > 1-12

Journal of Applied Mathematics and Computing > 2019 > 60 > 1-2 > 435-453

*m*-accretive mappings in Banach spaces. We produce an extended Newton-type iterative scheme that converges cubically to the solution which uses assumptions only on the first Fréchet derivative of the operator. Using general Hölder type source condition we obtain an error estimate. We also use the adaptive parameter choice strategy proposed...

Journal of Mathematical Chemistry > 2019 > 57 > 5 > 1268-1281

The European Physical Journal Special Topics > 2017 > 226 > 16-18 > 3667-3680

Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales.... > 2019 > 113 > 2 > 1463-1473

SeMA Journal > 2018 > 75 > 3 > 545-561

Applied Mathematics and Computation > 2017 > 315 > C > 224-245

Journal of Mathematical Chemistry > 2018 > 56 > 7 > 1958-1975

Journal of Mathematical Chemistry > 2018 > 56 > 7 > 1935-1957

International Journal of Applied and Computational Mathematics > 2017 > 3 > 1 > 1071-1081