From the Schauder fixed-point theorem to the applied multivalued Nielsen theory | Zendy

Ján Andres | Zendy; Lech Górniewicz | Zendy

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From the Schauder fixed-point theorem to the applied multivalued Nielsen theory

Author(s) -

Ján Andres,

Lech Górniewicz

Publication year - 1999

Publication title -

topological methods in nonlinear analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.623

H-Index - 23

ISSN - 1230-3429

DOI - 10.12775/tmna.1999.030

Subject(s) - mathematics , fixed point theorem , schauder fixed point theorem , multiplicity (mathematics) , kakutani fixed point theorem , fixed point , metric space , brouwer fixed point theorem , lefschetz fixed point theorem , pure mathematics , picard–lindelöf theorem , mathematical analysis , discrete mathematics

Starting from the famous Schauder fixed-point theorem, we presentsome Lefschetz-like and Nielsen-like generalizations for certainadmissible (multivalued) self-maps on metric ANR-spaces. Thesefixed-point principles are applied for obtaining the existence andmultiplicity results for boundary value problems.

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