Topological Methods in Nonlinear Analysis
- Topol. Methods Nonlinear Anal.
- Volume 16, Number 1 (2000), 73-92.
Relative versions of the multivalued Lefschetz and Nielsen theorems and their application to admissible semi-flows
The relative Lefschetz and Nielsen fixed-point theorems are generalized for compact absorbing contractions on ANR-spaces and nilmanifolds. The nontrivial Lefschetz number implies the existence of a fixed-point in the closure of the complementary domain. The relative Nielsen numbers improve the lower estimate of the number of coincidences on the total space or indicate the location of fixed-points on the complement. Nontrivial applications of these topological invariants (under homotopy) are given to admissible semi-flows and differential inclusions.
Topol. Methods Nonlinear Anal., Volume 16, Number 1 (2000), 73-92.
First available in Project Euclid: 22 August 2016
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Andres, Jan; Górniewicz, Lech; Jezierski, Jerzy. Relative versions of the multivalued Lefschetz and Nielsen theorems and their application to admissible semi-flows. Topol. Methods Nonlinear Anal. 16 (2000), no. 1, 73--92. https://projecteuclid.org/euclid.tmna/1471875423