The fixed point property for mappings admitting a center

We introduce a class of nonlinear continuous mappings in Banach spaces which allow us to characterize the Banach spaces without noncompact flat parts in their spheres as those that have the fixed point property for this type of mapping. Later on, we give an application to the existence of zeroes for...

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Veröffentlicht in:	Nonlinear analysis 2007-03, Vol.66 (6), p.1257-1274
Hauptverfasser:	García-Falset, J., Llorens-Fuster, E., Prus, S.
Format:	Artikel
Sprache:	eng
Schlagworte:	Exact sciences and technology Fixed points Functional analysis Global analysis, analysis on manifolds Mathematical analysis Mathematics Nearly strictly convex Banach spaces Nonlinear operators Operator theory Sciences and techniques of general use Topology. Manifolds and cell complexes. Global analysis and analysis on manifolds
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Beschreibung
Zusammenfassung:	We introduce a class of nonlinear continuous mappings in Banach spaces which allow us to characterize the Banach spaces without noncompact flat parts in their spheres as those that have the fixed point property for this type of mapping. Later on, we give an application to the existence of zeroes for certain kinds of accretive operators.
ISSN:	0362-546X 1873-5215
DOI:	10.1016/j.na.2006.01.016