Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 786357, 12 pages
doi:10.1155/2009/786357
Research Article

Fixed Points of Multivalued Maps in Modular Function Spaces

Marwan A. Kutbi and Abdul Latif

Department of Mathematics, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi Arabia

Received 7 February 2009; Accepted 14 April 2009

Academic Editor: Jerzy Jezierski

Copyright © 2009 Marwan A. Kutbi and Abdul Latif. 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

The purpose of this paper is to study the existence of fixed points for contractive-type and nonexpansive-type multivalued maps in the setting of modular function spaces. We also discuss the concept of w-modular function and prove fixed point results for weakly-modular contractive maps in modular function spaces. These results extend several similar results proved in metric and Banach spaces settings.