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Abstract and Applied Analysis
Volume 2014 (2014), Article ID 642378, 11 pages
http://dx.doi.org/10.1155/2014/642378
Research Article

A New Type of Coincidence and Common Fixed Point Theorem with Applications

1Gurukula K. Vishwavidyalaya, Haridwar 249404, India
2Department of Mathematics, Maharshi Dayanand University, Rohtak 124001, India
3Institute of Research and Development Processes, University of Basque Country, Campus of Leioa (Bizkaia), Aptdo. 644-Bilbao, 48080-Bilbao, Spain

Received 26 September 2013; Accepted 24 March 2014; Published 30 April 2014

Academic Editor: Douglas R. Anderson

Copyright © 2014 Shyam Lal Singh 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

Coincidence and common fixed point theorems for a class of Ćirić-Suzuki hybrid contractions involving a multivalued and two single-valued maps in a metric space are obtained. Some applications including the existence of a common solution for certain class of functional equations arising in a dynamic programming are also discussed.