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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Bibliographic Details
Published in:Nonlinear analysis 2007-03, Vol.66 (6), p.1257-1274
Main Authors: García-Falset, J., Llorens-Fuster, E., Prus, S.
Format: Article
Language:English
Subjects:
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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Summary: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