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

DOI10.1007/s11784-014-0154-7zbMath1355.54050OpenAlexW2054436890MaRDI QIDQ499954

Majid Fakhar, Zeinab Soltani, Jafar Zafarani

Publication date: 7 October 2015

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

Full work available at URL: https://doi.org/10.1007/s11784-014-0154-7

zbMATH Keywords

measure of noncompactnessset-valued mapabsolute neighborhood retractadmissible mapasymptotic conjecturefixed point, Lefschetz numberSchauder conjecturespecial retract

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20) Absolute neighborhood extensor, absolute extensor, absolute neighborhood retract (ANR), absolute retract spaces (general properties) (54C55)

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• Generalized Lefschetz sets
• Lefschetz fixed point theorems in generalized neighborhood extension spaces with respect to a map
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• Punti uniti in trasformazioni a codominio non compatto
• Locally admissible multi-valued maps
• Fixed point theory for compact absorbing contractions in extension type spaces
• Some Asymptotic Fixed Point Theorems

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