Three-dimensional convexity and the fixed point property for nonexpansive mappings

DOI10.1016/j.na.2008.10.101zbMath1175.47054OpenAlexW1986010114MaRDI QIDQ1021756

Eva María Mazcuñán-Navarro

Publication date: 9 June 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.10.101

zbMATH Keywords

Banach spacemodulus of convexitynonexpansive mappingsuniform nonsquarenesscharacteristic of convexityfixed point property (FPP)uniform nonoctahedralness

Mathematics Subject Classification ID

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

Related Items

Finding minimum norm fixed point of nonexpansive mappings and applications ⋮ Iterative methods for finding minimum-norm fixed points of nonexpansive mappings with applications

Cites Work

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• Unconditional bases and fixed points of nonexpansive mappings
• Existence of fixed points of nonexpansive mappings in a space without normal structure
• Uniformly nonsquare Banach spaces have the fixed point property for nonexpansive mappings
• The fixed point property and normal structure for some B-convex Banach spaces
• The fixed point property for some uniformly nonoctahedral Banach spaces
• FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
• Zum Prinzip der kontraktiven Abbildung
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
• A Fixed Point Theorem for Mappings which do not Increase Distances

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