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The fixed point property for mappings admitting a center
Stanisław PrusEnrique Llorens-fusterJesús Garcia-falsetsubject
Discrete mathematicsNonlinear systemClass (set theory)Applied MathematicsBanach spaceCenter (group theory)Fixed pointType (model theory)Fixed-point propertyAnalysisNonlinear operatorsMathematicsdescription
Abstract 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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2007-03-01 | Nonlinear Analysis: Theory, Methods & Applications |