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
Department of Applied Mathematics, Andhra University, Visakhapatnam 530003, India
Received 20 August 2003; Revised 24 February 2004
Copyright © 2004 S. V. R. Naidu. 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
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.