Banach ultrapowers and multivalued nonexpansive mappings

DOI10.1016/j.jmaa.2006.03.052zbMath1112.47044OpenAlexW2077991255MaRDI QIDQ865303

Andrzej Wiśnicki, Jacek Wośko

Publication date: 14 February 2007

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.2006.03.052

zbMATH Keywords

fixed pointmeasure of noncompactnessnonexpansive mapmultivalued mapcondensing multimapmetric fixed point theoryBanach ultrapowerinwardness condition

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

The James constant, the Jordan-von Neumann constant, weak orthogonality, and fixed points for multivalued mappings, A fixed point theorem for pointwise eventually nonexpansive mappings in nearly uniformly convex Banach spaces, Fixed point theorems by ways of ultra-asymptotic centers, Fixed point theorems for some generalized multivalued nonexpansive mappings, Fixed point theorems for nonexpansive mappings and Suzuki-generalized nonexpansive mappings on a Banach lattice

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