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Journal of Mathematics
Volume 2016, Article ID 5190718, 8 pages
Research Article

Multivalued Fixed Point Theorems for Generalized Contractions and Their Applications

Department of Mathematics, University of Malakand, Chakdara, Dir (Lower), Khyber Pakhtunkhwa 18800, Pakistan

Received 31 July 2016; Accepted 14 September 2016

Academic Editor: Nan-Jing Huang

Copyright © 2016 Muhammad Shoaib and Muhammad Sarwar. 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 give common hybrid fixed point results for generalized weak contraction satisfying and properties in the framework of metric spaces. An application to functional equations is also discussed.