Degree and index theories for noncompact function triples
Keywords
Fixed point index, degree theory, multivalued map, fundamental set, countably condensing map, nonconvex domain, ANR, measure of noncompactness, Skrypnik degreeAbstract
We describe a very general procedure how one may extend an arbitrary degree or index theory (originally defined only for compact maps) also for large classes of noncompact maps. We also show how one may obtain degree or index theories relative to some set. Our results even apply to the general setting when one has a combined degree and index theory for function triples. The results are applied to countably condensing perturbations of monotone maps.Downloads
Published
2007-03-01
How to Cite
1.
VÄTH, Martin. Degree and index theories for noncompact function triples. Topological Methods in Nonlinear Analysis. Online. 1 March 2007. Vol. 29, no. 1, pp. 79 - 117. [Accessed 19 April 2024].
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