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The fixed point property for mappings admitting a center |
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| Authors: | J García-Falset E Llorens-Fuster S Prus |
| Institution: | 1. Departament d’Anàlisi Matemàtica, Universitat de València, Dr. Moliner 50, 46100, Burjassot, València, Spain;2. Department of Mathematics, M. Curie-Sklodowska University, 20-031 Lublin, Poland |
| 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. |
| Keywords: | Fixed points Nonlinear operators Nearly strictly convex Banach spaces |
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