Relative versions of the multivalued Lefschetz and Nielsen theorems and their application to admissible semi-flows | Zendy

Ján Andres | Zendy; Lech Górniewicz | Zendy; Jerzy Jezierski | Zendy

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Relative versions of the multivalued Lefschetz and Nielsen theorems and their application to admissible semi-flows

Author(s) -

Ján Andres,

Lech Górniewicz,

Jerzy Jezierski

Publication year - 2000

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.2000.031

Subject(s) - mathematics , lefschetz fixed point theorem , complement (music) , homotopy , fixed point , pure mathematics , closure (psychology) , fixed point theorem , domain (mathematical analysis) , mathematical analysis , discrete mathematics , schauder fixed point theorem , brouwer fixed point theorem , biochemistry , chemistry , complementation , economics , market economy , gene , phenotype

The relative Lefschetz and Nielsenfixed-point theorems are generalized for compact absorbingcontractions on ANR-spaces and nilmanifolds. The nontrivialLefschetz number implies the existence of a fixed-point in theclosure of the complementary domain. The relative Nielsen numbersimprove the lower estimate of the number of coincidences on thetotal space or indicate the location of fixed-points on thecomplement. Nontrivial applications of these topologicalinvariants (under homotopy) are given to admissible semi-flowsand differential inclusions.

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