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Abstract and Applied Analysis
Volume 2014, Article ID 820482, 8 pages
Research Article

A Suzuki Type Coupled Fixed Point Theorem for Generalized Multivalued Mapping

Department of Mathematics, HNB Garhwal University, Srinagar Garhwal, Pauri Garhwal, Uttarakhand 246174, India

Received 4 November 2013; Accepted 24 January 2014; Published 15 April 2014

Academic Editor: Mohamed Amine Khamsi

Copyright © 2014 Pushpendra Semwal and Ramesh Chandra Dimri. 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.


We obtain a new Suzuki type coupled fixed point theorem for a multivalued mapping from into , satisfying a generalized contraction condition in a complete metric space. Our result unifies and generalizes various known comparable results in the literature. We also give an application to certain functional equations arising in dynamic programming.