International Journal of Mathematics and Mathematical Sciences
Volume 14 (1991), Issue 3, Pages 421-430

Fixed points of multivalued nonexpansive maps

T. Husain1 and Abdul Latif2

1Department of Mathematics and Statistics, McMaster University, Ontario, Hamilton L8S 4K1, Canada
2Department of Mathematics, Gomal University, D.I. Khan, Pakistan

Received 21 June 1990; Revised 12 December 1990

Copyright © 1991 T. Husain and Abdul Latif. 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.


Fixed point theorems for multivalued contractive-type and nonexpansive-type maps on complete metric spaces and on certain closed bounded convex subsets of Banach spaces have been proved. They extend some known results due to Browder, Husain and Tarafdar, Karlovitz and Kirk.