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