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

Fixed points of discontinuous multivalued operators in ordered spaces with applications

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.