Table of Contents
Journal of Operators
Volume 2013, Article ID 408791, 6 pages
Research Article

Fibre Contraction Principle with respect to an Iterative Algorithm

Department of Mathematics, Babeş-Bolyai University, 1 M. Kogălniceanu, 400048 Cluj-Napoca, Romania

Received 6 March 2013; Accepted 2 September 2013

Academic Editor: Lingju Kong

Copyright © 2013 Marcel-Adrian Şerban. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We apply the fibre contraction principle in the case of a general iterative algorithm to approximate the fixed point of triangular operator using the admissible perturbation. A simple example and an application to a functional equation with parameter are given in order to illustrate the abstract results and to show the role of admissible perturbations.