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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 230708, 9 pages
Research Article

Fixed Points of Multivalued Contractive Mappings in Partial Metric Spaces

1Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
2Department of Mathematics and Applied Mathematics, University Pretoria, Lynnwood Road, Pretoria 0002, South Africa
3Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad 22060, Pakistan
4Faculty of Applied Sciences, University Politehnica of Bucharest, 313 Splaiul Independentei, 060042 Bucharest, Romania

Received 23 November 2013; Accepted 7 January 2014; Published 20 February 2014

Academic Editor: Hassen Aydi

Copyright © 2014 Abdul Rahim Khan 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.


The aim of this paper is to present fixed point results of multivalued mappings in the framework of partial metric spaces. Some examples are presented to support the results proved herein. Our results generalize and extend various results in the existing literature. As an application of our main result, the existence and uniqueness of bounded solution of functional equations arising in dynamic programming are established.