Lefschetz fixed point theorems in generalized neighborhood extension spaces with respect to a map

DOI10.1007/S12215-010-0025-ZzbMath1208.47049OpenAlexW2117546742MaRDI QIDQ708774

Donal O'Regan

Publication date: 14 October 2010

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-010-0025-z

zbMATH Keywords

composite mapsextension spacesLefschetz fixed point theory

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (1)

The Lefschetz fixed point theorem and its application to asymptotic fixed point theorem for set-valued mappings

Cites Work

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• On a generalization of absolute neighborhood retracts
• Asymptotic Lefschetz fixed point theory for ANES(compact) maps
• Some general theorems in coincidence theory. I
• Spaces and maps approximation and fixed points
• Fixed point theory on extension-type spaces and essential maps on topological spaces
• FIXED POINT THEORY FOR MULTIMAPS IN EXTENSION TYPE SPACES
• Fixed point theory for compact absorbing contractive admissible type maps
• The Lefschetz fixed point theorem for multivalued maps of non-metrizable spaces
• The coincidence problem for compositions of set-valued maps

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