@misc{10481/74673,
year = {2022},
month = {3},
url = {http://hdl.handle.net/10481/74673},
abstract = {First of all, in this paper we obtain a perturbed version of the geometric series theorem,
which allows us to present an iterative numerical method to approximate the fixed point of a
contractive affine operator. This result requires some approximations that we obtain using the
projections associated with certain Schauder bases. Next, an algorithm is designed to approximate
the solution of Fredholm’s linear integral equation, and we illustrate the behavior of the method with
some numerical examples.},
organization = {Junta de Andalucia	FQM359},
organization = {"Maria de Maeztu" Excellence Unit IMAG - MCIN/AEI	CEX2020-001105-M},
publisher = {MDPI},
keywords = {Iterative numerical methods},
keywords = {Schauder bases},
keywords = {Fredholm integral equation},
title = {An Iterative Algorithm for Approximating the Fixed Point of a Contractive Affine Operator},
doi = {10.3390/math10071012},
author = {Berenguer Maldonado, María Isabel and Ruiz Galán, Manuel},
}