Abstract and Applied Analysis
Volume 2010 (2010), Article ID 123094, 14 pages
doi:10.1155/2010/123094
Research Article

Some Nonunique Fixed Point Theorems of Ćirić Type on Cone Metric Spaces

Erdal Karapınar

Department of Mathematics, Atılım University, 06836 Ankara, Turkey

Received 18 January 2010; Revised 6 March 2010; Accepted 15 April 2010

Academic Editor: Dumitru Baleanu

Copyright © 2010 Erdal Karapınar. 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

Some results of (Ćirić, 1974) on a nonunique fixed point theorem on the class of metric spaces are extended to the class of cone metric spaces. Namely, nonunique fixed point theorem is proved in orbitally T complete cone metric spaces under the assumption that the cone is strongly minihedral. Regarding the scalar weight of cone metric, we are able to remove the assumption of strongly minihedral.