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

Fixed points of multivalued maps in modular function spaces

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.