International Journal of Mathematics and Mathematical Sciences
Volume 2012 (2012), Article ID 862791, 12 pages
Research Article

Fixed Point Theorems for Asymptotically Contractive Multimappings

1Department of Mathematics, El Oued University, Alger, Algeria
2Department of Mathematics, Oran University, Oran, Algeria

Received 19 February 2012; Accepted 4 April 2012

Academic Editor: Yonghong Yao

Copyright © 2012 M. Djedidi and K. Nachi. 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 present fixed point theorems for a nonexpansive set-valued mapping from a closed convex subset of a reflexive Banach space into itself under some asymptotic contraction assumptions. Some existence results of coincidence points and eigenvalues for multimappings are given.