Fixed Point Theory and Applications
Volume 2010 (2010), Article ID 351531, 10 pages
doi:10.1155/2010/351531

Existence and approximation of fixed points for set-valued mappings

Abstract

Taking into account possibly inexact data, we study both existence and approximation of fixed points for certain set-valued mappings of contractive type. More precisely, we study the existence of convergent iterations in the presence of computational errors for two classes of set-valued mappings. The first class comprises certain mappings of contractive type, while the second one contains mappings satisfying a Caristi-type condition.