Common Fixed Points of Expansive Mappings in Generalized Metric Spaces
In this paper, we establish a common fixed point theorem for expansive mappings by using the concept of weakcompatibility in the setting of G -metric spaces. This result generalizes the result of Ahmed [2] from 2-metric spaces toG -metric spaces by removing the condition of sequential continuity of...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2014 |
| País: | México |
| Institución: | UNIVERSIDAD NACIONAL AUTÓNOMA DE MÉXICO |
| Repositorio: | Journal of Applied Research and Technology |
| Idioma: | inglés |
| OAI Identifier: | oai:ojs2.localhost:article/221 |
| Acceso en línea: | https://jart.icat.unam.mx/index.php/jart/article/view/221 |
| Access Level: | acceso abierto |
| Palabra clave: | Common fixed point G -metric spaces Weakly compatible Expansive mapping |
| Sumario: | In this paper, we establish a common fixed point theorem for expansive mappings by using the concept of weakcompatibility in the setting of G -metric spaces. This result generalizes the result of Ahmed [2] from 2-metric spaces toG -metric spaces by removing the condition of sequential continuity of the mappings. Further, we generalize andextend the theorem of ?ahin and Telci [20] to G -metric spaces and thereby extending the theorem of Wang et al. [23]for a pair of mappings to G -metric spaces. Some comparative examples are constructed which illustrate the obtainedresults. |
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