From the Schauder fixed-point theorem to the applied multivalued Nielsen theory
KeywordsFixed-point theorems, CAC-maps, ANR-spaces, Lefschetz number, Nielsen number, boundary value problems, differential systems, existence results, multiplicity results
AbstractStarting 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.
How to Cite
ANDRES, Jan & GÓRNIEWICZ, Lech. From the Schauder fixed-point theorem to the applied multivalued Nielsen theory. Topological Methods in Nonlinear Analysis [online]. 1 December 1999, T. 14, nr 2, s. 229–238. [accessed 3.2.2023].
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