International Journal of Mathematics and Mathematical Sciences
Volume 18 (1995), Issue 4, Pages 819-822
doi:10.1155/S0161171295001049

Point-valued mappings of sets

Matt Insall

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

Abstract

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.