International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 4, Pages 819-822

Point-valued mappings of sets

Matt Insall

Department of Mathematics and Statistics, University of Missouri-Rolla, Rolla 65401, MO, USA

Received 28 December 1994; Revised 18 January 1995

Copyright © 1995 Matt Insall. 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.


Let X be a metric space and let CB(X) denote the closed bounded subsets of X with the Hausdorff metric. Given a complete subspace Y of CB(X), two fixed point theorems, analogues of results in [1], are proved, and examples are given to suggest their applicability in practice.