Fixed Point Theory and Applications
Volume 2004 (2004), Issue 3, Pages 221-242
doi:10.1155/S1687182004308090

Fixed points and coincidence points for multimaps with not necessarily bounded images

Abstract

In metric spaces, single-valued self-maps and multimaps with closed images are considered and fixed point and coincidence point theorems for such maps have been obtained without using the (extended) Hausdorff metric, thereby generalizing many results in the literature including those on the famous conjecture of Reich on multimaps.