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 , are proved, and examples are given to suggest their applicability in practice.
M. Insall, "Point-Valued Mappings of Sets," International Journal of Mathematics and Mathematical Sciences, Hindawi Publishing Corporation, Jan 1995.
The definitive version is available at http://dx.doi.org/10.1155/S0161171295001049
Mathematics and Statistics
Keywords and Phrases
Hausdorff Metric; Theorems
Article - Journal
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