Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 745769, 13 pages
doi:10.1155/2010/745769
Research Article

Fixed Points of Discontinuous Multivalued Operators in Ordered Spaces with Applications

Shihuang Hong and Zheyong Qiu

Department of Mathematics, Hangzhou Dianzi University, Hangzhou 310018, China

Received 24 September 2009; Accepted 3 March 2010

Academic Editor: T. Dominguez Benavides

Copyright © 2010 Shihuang Hong and Zheyong Qiu. 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

Existence theorems of fixed points for multivalued increasing operators in partially ordered spaces are presented. Here neither the continuity nor compactness is assumed for multivalued operators. As an application, we lead to the existence principles for integral inclusions of Hammerstein type multivalued maps.