Abstract
Making use of the Boyd-Wong fixed point theorem, we establish a new existence and uniqueness result and an approximation process of the fixed point for the product of two nonlinear operators in Banach algebras. This provides an adequate tool for deriving the existence and uniqueness of solutions of two interesting type of nonlinear functional equations in Banach algebras, as well as for developing an approximation method of their solutions. In addition, to illustrate the applicability of our results we give some numerical examples.
Funder
the University of Sfax
Junta de Andalucía
the María de Maeztu Excellence Unit IMAG
Subject
General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)