A fixed point theorem for set-valued quasi-contractions in b-metric spaces
1 Institut Supérieur d'Informatique et des Technologies de Communication de Hammam Sousse, Université de Sousse, Route GP1-4011, Hammam Sousse, Tunisie
2 Department of Mathematics, Babeş-Bolyai University, Kogălniceanu Street No.1, 400084, Cluj-Napoca, Romania
3 Department of Mathematics, Atılım University, İncek, Ankara 06836, Turkey
4 Department of Mathematics, Faculty of forestry, University of Belgrade, Kneza Viseslava 1, Belgrade, Serbia
Fixed Point Theory and Applications 2012, 2012:88 doi:10.1186/1687-1812-2012-88Published: 22 May 2012
In this article, we give a fixed point theorem for set-valued quasi-contraction maps in b-metric spaces. This theorem extends, unifies and generalizes several well known comparable results in the existing literature.