Fixed point theorems for multivalued nonexpansive mappings satisfying inwardness conditions
Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies the non-strict Opial condition. Let C be a bounded closed convex subset of X, KC(X) the family of all compact convex subsets of X and T a nonexpansive mapping from C into KC(X) with bounded range. We pr...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión enviada para evaluación y publicación |
| Fecha de publicación: | 2004 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/45290 |
| Acceso en línea: | http://hdl.handle.net/11441/45290 https://doi.org/10.1016/j.jmaa.2003.10.019 |
| Access Level: | acceso abierto |
| Palabra clave: | Fixed point Multivalued nonexpansive mapping Inwardness condition Characteristic of noncompact convexity of a Banach space Opial condition |
| Sumario: | Let X be a Banach space whose characteristic of noncompact convexity is less than 1 and satisfies the non-strict Opial condition. Let C be a bounded closed convex subset of X, KC(X) the family of all compact convex subsets of X and T a nonexpansive mapping from C into KC(X) with bounded range. We prove that T has a fixed point. The non-strict Opial condition can be removed if, in addition, T is an 1-χ-contractive mapping. |
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