Some geometric conditions which imply the fixed point property for multivalued nonexpansive mappings

DOI10.1016/j.jmaa.2007.07.015zbMath1132.47043OpenAlexW2021700243MaRDI QIDQ2465178

B. Gavira

Publication date: 8 January 2008

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.2007.07.015

zbMATH Keywords

normal structuremodulus of smoothnessfixed point theoremJames constantJordan-von Neumann constantmultivalued nonexpansive mappingcoefficient of weak orthogonality

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Set-valued operators (47H04) Geometry and structure of normed linear spaces (46B20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

On stationary points of nonexpansive set-valued mappings ⋮ Hölder’s means and fixed points for multivalued nonexpansive mappings ⋮ On some geometric constants and the fixed point property for multivalued nonexpansive mappings ⋮ Some sufficient conditions for fixed points of multivalued nonexpansive mappings in Banach spaces ⋮ A new approach to fixed point property of nonexpansive multivalued mappings ⋮ Fixed point theorems by ways of ultra-asymptotic centers ⋮ Does Kirk's theorem hold for multivalued nonexpansive mappings? ⋮ Edelstein's method and fixed point theorems for some generalized nonexpansive mappings ⋮ James type constants and fixed points for multivalued nonexpansive mappings

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