A Common End Point Theorem for Set-Valued Generalized
-Weak Contraction !()
1 Department of Mathematics, Centre for Advanced Studies in Mathematics, Lahore University of Management Sciences, 54792 Lahore, Pakistan
2 Faculty of Organizational Sciences, University of Belgrade, Jove Ilića 154, 11000 Beograd, Serbia
Fixed Point Theory and Applications 2010, 2010:509658 doi:10.1155/2010/509658Published: 20 October 2010
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.