KKM property and fixed point theorems in metric spaces

DOI10.1016/J.JMAA.2005.11.030zbMath1110.54023OpenAlexW2041814026MaRDI QIDQ855438

N. E. Zubov

Publication date: 7 December 2006

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2005.11.030

zbMATH Keywords

metric spaceKKM theoremKKM maplower semicontinuousKKM property\(k\)-set contractionalmost-subadmissiblenearly-subadmissible

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) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (4)

Fixed point theorems for generalized set-contraction maps and their applications ⋮ Full characterizations of minimax inequality, fixed point theorem, saddle point theorem, and KKM principle in arbitrary topological spaces ⋮ Diametrically contractive multivalued mappings ⋮ Unnamed Item

Cites Work

• KKM mappings in metric spaces
• The fixed point index and asymptotic fixed point theorems for $k$-set-contractions

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