Revista Integración, temas de matemáticas.

Revista Integración, temas de matemáticas

Vol. 33 No. 1 (2015): Revista Integración, temas de matemáticas
Research and Innovation Articles

Fixed point property for nonexpansive mappings and nonexpansive semigroups on the unit disk

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  • Luis Benítez-Babilonia
Luis Benítez-Babilonia
Universidad de Antioquia

Published 2015-05-21

Keywords

  • ρ-nonexpansive mappings,
  • fixed point property,
  • semigroups.

How to Cite

Benítez-Babilonia, L. (2015). Fixed point property for nonexpansive mappings and nonexpansive semigroups on the unit disk. Revista Integración, Temas De matemáticas, 33(1), 41–50. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/4768

Abstract

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. 

To cite this article: L. Benítez-Babilonia, Fixed point property for nonexpansive mappings and nonexpansive semigroups on the unit disk, Rev. Integr. Temas Mat. 33 (2015), no. 1, 41-50.

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