Fixed Point Theory and Applications
Volume 2009 (2009), Article ID 906727, 8 pages
doi:10.1155/2009/906727

Schauder fixed point theorem in spaces with global nonpositive curvature

Constantin P. Niculescu and Ionel Rovenţa

Department of Mathematics, University of Craiova, 200585 Craiova, Romania

Abstract

The Schauder fixed point theorem is extended to the context of metric spaces with global nonpositive curvature. Some applications are included.