Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 204981, 14 pages
doi:10.1155/2010/204981
Research Article

Common Fixed Points for Multimaps in Metric Spaces

Rafa Espínola1 and Nawab Hussain2

1Departamento de Análisis Matemático, Universidad de Sevilla, P.O. Box 1160, 41080 Sevilla, Spain
2Department of Mathematics, King Abdul Aziz University, P.O. Box 80203, Jeddah, Saudi Arabia

Received 10 June 2009; Accepted 15 September 2009

Academic Editor: Tomonari Suzuki

Copyright © 2010 Rafa Espínola and Nawab Hussain. 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.

Abstract

We discuss the existence of common fixed points in uniformly convex metric spaces for single-valued pointwise asymptotically nonexpansive or nonexpansive mappings and multivalued nonexpansive, ∗-nonexpansive, or ε-semicontinuous maps under different conditions of commutativity.