On the convergence of secant-like algorithms with applications to generalized fractional calculus
Volume 43 / 2016
Applicationes Mathematicae 43 (2016), 191-206
MSC: 65G99, 65H10, 26A33, 47J25, 47J05.
DOI: 10.4064/am2275-12-2015
Published online: 10 December 2015
Abstract
We present local and semilocal convergence results for secant-like algorithms in order to approximate a locally unique solution of a nonlinear equation in a Banach space setting. In the last part of the study we present some choices of the operators involved in fractional calculus where the operators satisfy the convergence conditions.
