Now showing items 1-5 of 5

    • Icon

      Asymptotically nonexpansive mappings in modular function spaces  [Article]

      Domínguez Benavides, Tomás; Khamsi, Mohamed Amine; Samadi, Sedki (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 ...
    • Icon

      Asymptotically regular mappings in modular function spaces  [Article]

      Domínguez Benavides, Tomás; Khamsi, Mohamed Amine; Samadi, Sedki (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 ...
    • Icon

      Impact of Kirk's results on the development of fixed point theory  [Article]

      Khamsi, Mohamed Amine; Domínguez Benavides, Tomás (2011)
    • Icon

      Introduction to hyperconvex spaces  [Chapter of Book]

      Espínola García, Rafael; Khamsi, Mohamed Amine (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 ...
    • Icon

      Uniformly Lipschitzian mappings in modular function spaces  [Article]

      Domínguez Benavides, Tomás; Khamsi, Mohamed Amine; Samadi, Sedki (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. ...