Article
Weak compactness and fixed point property for affine mappings
Author/s | Domínguez Benavides, Tomás
Japón Pineda, María de los Ángeles Prus, Stanislaw |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2004-04-01 |
Deposit Date | 2016-07-11 |
Published in |
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Abstract | It is shown that a closed convex bounded subset of a Banach space is weakly compact if and only if it has the generic fixed point property for continuous affine mappings. The class of continuous affine mappings can be ... It is shown that a closed convex bounded subset of a Banach space is weakly compact if and only if it has the generic fixed point property for continuous affine mappings. The class of continuous affine mappings can be replaced by the class of affine mappings which are uniformly Lipschitzian with some constant M > 1 in the case of c0, the class of affine mappings which are uniformly Lipschitzian with some constant M > √6 in the case of quasi-reflexive James’ space J and the class of nonexpansive affine mappings in the case of L-embedded spaces. |
Funding agencies | Dirección General de Enseñanza Superior. España Junta de Andalucía |
Project ID. | BFM 2000-0344
FQM-127 2P03A02915 |
Citation | Domínguez Benavides, T., Japón Pineda, M.d.l.Á. y Prus, S. (2004). Weak compactness and fixed point property for affine mappings. Journal of Functional Analysis, 209 (1), 1-15. |
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