Fixed Point Theory and Applications
Volume 2008 (2008), Article ID 645419, 9 pages
Research Article

Well-Posedness and Fractals via Fixed Point Theory

Cristian Chifu and Gabriela Petruşel

Department of Business, Faculty of Business, Babeş-Bolyai University Cluj-Napoca, Horea 7, 400174 Cluj-Napoca, Romania

Received 25 August 2008; Accepted 6 October 2008

Academic Editor: Andrzej Szulkin

Copyright © 2008 Cristian Chifu and Gabriela Petruşel. 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.


The purpose of this paper is to present existence, uniqueness, and data dependence results for the strict fixed points of a multivalued operator of Reich type, as well as, some sufficient conditions for the well-posedness of a fixed point problem for the multivalued operator.