Copyright © 2010 Mujahid Abbas and Dragan Ðorić. 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 introduce the class of generalized -weak contractive set-valued mappings
on a metric space. We establish that such mappings have a unique common end point under
certain weak conditions. The theorem obtained generalizes several recent results on single-valued
as well as certain set-valued mappings.