Article
Asymptotic centers and fixed points for multivalued nonexpansive mappings
Author/s | Domínguez Benavides, Tomás
Lorenzo Ramírez, Josefa |
Department | Universidad de Sevilla. Departamento de Análisis Matemático |
Publication Date | 2004 |
Deposit Date | 2016-11-22 |
Published in |
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Abstract | Let X be a nearly uniformly convex Banach space, C a convex closed bounded subset of X and T : C → 2 C a multivalued nonexpansive
mapping with convex compact values. We prove that T has a fixed point. This result improves ... Let X be a nearly uniformly convex Banach space, C a convex closed bounded subset of X and T : C → 2 C a multivalued nonexpansive mapping with convex compact values. We prove that T has a fixed point. This result improves former results in Domínguez Benavides, T., P. Lorenzo, Fixed point theorems for multivalued nonexpansive mappings without uniform convexity, Abstr. Appl. Anal. 2003:6 (2003), 375–386 and solves an open problem appearing in Xu, H.K., Metric fixed point theory for multivalued mappings, Dissertationes Math. (Rozprawy Mat.) 389 (2000), 39 pp. |
Funding agencies | Dirección General de Enseñanza Superior. España Junta de Andalucía |
Project ID. | PBMF2003-03893-C02-C01
FQM-127 |
Citation | Domínguez Benavides, T. y Lorenzo Ramírez, J. (2004). Asymptotic centers and fixed points for multivalued nonexpansive mappings. Annales Universitatis Mariae Curie-Sklodowska. Sectio A, Mathematica, 58, 37-45. |
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