Propiedad del punto fijo para funciones y semigrupos no expansivos en el disco unidad

• Benítez-Babilonia, Luis ^[1]
  1. [1] Universidad de Antioquia

     Universidad de Antioquia

     Colombia

     
• Localización: Integración: Temas de matemáticas, ISSN 0120-419X, Vol. 33, Nº. 1, 2015 (Ejemplar dedicado a: Revista Integración), págs. 41-50
• Idioma: español
• Títulos paralelos:
  • Fixed point property for nonexpansive mappings and nonexpansive semigroups on the unit disk
• Enlaces
  • Texto completo (pdf)
• Resumen
  • español

    Para subconjuntos D cerrados y convexos de espacios de Banach, Tomonari Suzuki [11] demostró en 2009 que la propiedad del punto fijo (PPF) para funciones no expansivas y la PPF para semigrupos de funciones no expansivas son equivalentes. En este trabajo se estudian algunas relaciones entre dichas propiedades, cuando D es un subconjunto del espacio mético (D,ρ). Este trabajo surge como una generalización al espacio (D,ρ) de los resultados de Suzuki.

  • English

    For closed convex subsets D of a Banach spaces, in 2009, Tomonari Suzuki [11] proved that the fixed point property (FPP) for nonexpansive mappings and the FPP for nonexpansive semigroups are equivalent. In this paper some relations between the aforementioned properties for mappings and semigroups defined on D, a closed convex subset of the hyperbolic metric space (D,ρ), are studied. This work arises as a generalization to the space (D,ρ) of the study made by Suzuki. 

• Referencias bibliográficas
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