From the Schauder fixed-point theorem to the applied multivalued Nielsen theory
Słowa kluczowe
Fixed-point theorems, CAC-maps, ANR-spaces, Lefschetz number, Nielsen number, boundary value problems, differential systems, existence results, multiplicity resultsAbstrakt
Starting from the famous Schauder fixed-point theorem, we present some Lefschetz-like and Nielsen-like generalizations for certain admissible (multivalued) self-maps on metric ANR-spaces. These fixed-point principles are applied for obtaining the existence and multiplicity results for boundary value problems.Pobrania
Opublikowane
1999-12-01
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1.
ANDRES, Jan & GÓRNIEWICZ, Lech. From the Schauder fixed-point theorem to the applied multivalued Nielsen theory. Topological Methods in Nonlinear Analysis [online]. 1 grudzień 1999, T. 14, nr 2, s. 229–238. [udostępniono 3.7.2024].
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