Variation of Fixed-Point and Coincidence Sets
Copyright policy )Variation of Fixed-Point and Coincidence Sets
AbstractTopologise 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.
- University of Auckland New Zealand
Function spaces in general topology, Fixed-point and coincidence theorems (topological aspects), graph topology, upper semi-infinite topology, Set-valued maps in general topology
Function spaces in general topology, Fixed-point and coincidence theorems (topological aspects), graph topology, upper semi-infinite topology, Set-valued maps in general topology
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