Fixed Point Theory and Applications
Volume 2011 (2011), Article ID 589725, 15 pages
doi:10.1155/2011/589725
Research Article

Common Fixed Point Theorems for Four Mappings on Cone Metric Type Space

Aleksandar S. Cvetković,1 Marija P. Stanić,2 Sladjana Dimitrijević,2 and Suzana Simić2

1Department of Mathematics, Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, 11120 Belgrade, Serbia
2Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, Radoja Domanovića 12, 34000 Kragujevac, Serbia

Received 9 December 2010; Revised 26 January 2011; Accepted 3 February 2011

Academic Editor: Fabio Zanolin

Copyright © 2011 Aleksandar S. Cvetković et al. 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.

Abstract

In this paper we consider the so called a cone metric type space, which is a generalization of a cone metric space. We prove some common fixed point theorems for four mappings in those spaces. Obtained results extend and generalize well-known comparable results in the literature. All results are proved in the settings of a solid cone, without the assumption of continuity of mappings.