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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. ...
Capítulo de Libro
Introduction to hyperconvex spaces
(Springer, 2001)
The notion of hyperconvexity is due to Aronszajn and Panitchpakdi (1956) who proved that a hyperconvex space is a nonexpansive absolute retract, i.e. it is a nonexpansive retract of any metric space in which it is isometrically ...
Artículo
Asymptotically nonexpansive mappings in modular function spaces
(Elsevier, 2002-01-15)
In this paper, we prove that if ρ is a convex, σ-finite modular function satisfying a ∆2-type condition, C a convex, ρ-bounded, ρ-a.e. compact subset of Lρ and T : C → C a ρ-asymptotically nonexpansive mapping, then T has ...
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 ...