@article{Argyros_2018, title={A new convergence theorem for the method of tangent hyperbolas in banach space}, volume={18}, url={https://www.revistaproyecciones.cl/index.php/proyecciones/article/view/2743}, DOI={10.22199/S07160917.1999.0001.00001}, abstractNote={<p>In this study we appmximate a locally unique solution of a non-linear operator equtation in Banach space using the method of tangent hyperbolas. A new semilocal convergence theorem is provided using Lipschitz conditions on the second Fréchet-derivative. Our conditions are different than earlier ones. Hence, they have theorctical and practical value. Numerical examples are also provoded.</p>}, number={1}, journal={Proyecciones (Antofagasta, On line)}, author={Argyros, Ioannis K.}, year={2018}, month={Apr.}, pages={1-11} }