Fixed point property for nonexpansive mappings and nonexpansive semigroups on the unit disk
ABSTRACT: For closed convex subsets D of a Banach spaces, in 2009, Tomonari Suzuki[11]proved that the fixed point property(FPP) for nonexpansive mapping sand the FPP fornonexpansive semigroups are equivalent. In this paper some relations between the aforementioned properties for mappings and semigro...
- Autores:
-
Benítez Babilonia, Luis Enrique
- Tipo de recurso:
- Article of investigation
- Fecha de publicación:
- 2015
- Institución:
- Universidad de Antioquia
- Repositorio:
- Repositorio UdeA
- Idioma:
- eng
- OAI Identifier:
- oai:bibliotecadigital.udea.edu.co:10495/30359
- Acceso en línea:
- https://hdl.handle.net/10495/30359
https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/4768
- Palabra clave:
- Semigrupos
Semigroups
Funciones ρ-no expansivas
propiedad del punto fijo
- Rights
- openAccess
- License
- http://creativecommons.org/licenses/by/2.5/co/
| Summary: | ABSTRACT: For closed convex subsets D of a Banach spaces, in 2009, Tomonari Suzuki[11]proved that the fixed point property(FPP) for nonexpansive mapping sand the FPP fornonexpansive 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 asa generalization to the space(D,ρ)of the study made by Suzuki |
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