Artículo
Asymptotically regular mappings in modular function spaces
Autor/es | Domínguez Benavides, Tomás
Khamsi, Mohamed Amine Samadi, Sedki |
Departamento | Universidad de Sevilla. Departamento de Análisis Matemático |
Fecha de publicación | 2001 |
Fecha de depósito | 2016-11-21 |
Publicado en |
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Resumen | Let ρ be a modular function satisfying a ∆2-type condition and Lρ the corresponding modular space. The main result in this paper states that if C is a ρ-bounded and ρ-a.e sequentially compact subset of Lρ and T : C → C is ... Let ρ be a modular function satisfying a ∆2-type condition and Lρ the corresponding modular space. The main result in this paper states that if C is a ρ-bounded and ρ-a.e sequentially compact subset of Lρ and T : C → C is an asymptotically regular mapping such that lim inf n→∞ [Tn] < 2, where |S| denotes the Lipschitz constant of S, then T has a fixed point. We show that the estimate lim inf n→∞ [Tn] < 2 cannot be, in general, improved. |
Agencias financiadoras | Junta de Andalucía |
Identificador del proyecto | PB-96-1338-C01-C02
PAI-FQM-0127 |
Cita | Domínguez Benavides, T., Khamsi, M.A. y Samadi, S. (2001). Asymptotically regular mappings in modular function spaces. Scientiae Mathematicae Japonicae, 4 (3), 239-248. |
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