On a fixed point theorem by totik
In this paper we prove a common fixed point theorem (see Theorem 3.1) in metric spaces for two self-mappings satisfying a general implicit relation involving the diameter of nite sets, without requiring continuity. This theorem may be considered as a generalization of a result by Totik (1983). Also,...
- Autores:
-
Akkouchi, Mohamed
- Tipo de recurso:
- Article of journal
- Fecha de publicación:
- 2009
- Institución:
- Universidad Nacional de Colombia
- Repositorio:
- Universidad Nacional de Colombia
- Idioma:
- spa
- OAI Identifier:
- oai:repositorio.unal.edu.co:unal/73760
- Acceso en línea:
- https://repositorio.unal.edu.co/handle/unal/73760
http://bdigital.unal.edu.co/38237/
- Palabra clave:
- Rights
- openAccess
- License
- Atribución-NoComercial 4.0 Internacional
| Summary: | In this paper we prove a common fixed point theorem (see Theorem 3.1) in metric spaces for two self-mappings satisfying a general implicit relation involving the diameter of nite sets, without requiring continuity. This theorem may be considered as a generalization of a result by Totik (1983). Also, it unies and generalizes some other results obtained by Fisher (1977), Akkouchi (2001) and Nova (1997). |
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