Two topological definitions of a Nielsen number for coincidences of noncompact maps

DOI10.1155/S1687182004308119zbMath1079.55004OpenAlexW2061564762MaRDI QIDQ2388411

Jan Andres, Martin Väth

Publication date: 13 September 2005

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/52020

zbMATH Keywords

homotopy classcoincidence degreeNielsen numbersWecken class

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Degree theory for nonlinear operators (47H11) Degree, winding number (55M25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (4)

Parametric topological entropy and differential equations with time-dependent impulses. II: Multivalued case ⋮ Nielsen coincidence, fixed point and root theories of \(n\)-valued maps ⋮ Relative Nielsen theory for noncompact spaces and maps ⋮ Calculation of Lefschetz and Nielsen numbers in hyperspaces for fractals and dynamical systems

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