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Artículo
Structure of the fixed point set and common fixed points of asymptotically nonexpansive mappings
(American Mathematical Society, 2001)
Let X be a Banach space, C a weakly compact convex subset of X and T : C → C an asymptotically nonexpansive mapping. Under the usual assumptions on X which assure the existence of fixed point for T, we prove that the set ...
Tesis Doctoral
La teoría del punto fijo en espacios funcionales modulares
(2001-02-09)
La teoría del punto fijo ha sido extensamente desarrollada en los espacios de Banach y los espacios métricos, Los espacios funcionales modulares no están incluidos en los espacios anteriores aunque el modular comparte ...
Artículo
Uniformly Lipschitzian mappings in modular function spaces
(Elsevier, 2001-10)
Let ρ be a convex modular function satisfying a ∆2-type condition and Lρ the corresponding modular space. Assume that C is a ρ-bounded and ρ-a.e compact subset of Lρ and T : C → C is a k-uniformly Lipschitzian mapping. ...
Artículo
Asymptotically regular mappings in modular function spaces
(Japanese Association of Mathematical Sciences, 2001)
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 ...