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Variation of Fixed-Point and Coincidence Sets
Published online by Cambridge University Press: 09 April 2009
Abstract
Topologise the set of continuous self-mappings of a Hausdorff space by the graph topology. When the set of closed subsets of the space is given the upper semi-finite topology then the function which assigns to a map its fixed-point set is continuous. In many familiar cases this is the largest such topology. Related results also hold for the function which assigns to each pair of maps their coincidence set.
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- Research Article
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- Copyright © Australian Mathematical Society 1988
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