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

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

Received 3 June 2009; Accepted 9 November 2009

Academic Editor: Anthony To Ming Lau

Copyright © 2009 Constantin P. Niculescu and Ionel Rovenţa. 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 Schauder fixed point theorem is extended to the context of metric spaces with global nonpositive curvature. Some applications are included.