Common Fixed Points of Expansive Mappings in Generalized Metric Spaces
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| Format: | Artículo científico |
| Language: | en |
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Universidad Nacional Autónoma de México
2014
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| _version_ | 1876464478118215680 |
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| author | Priya Shahi |
| author_facet | Priya Shahi |
| contents | Common Fixed Points of Expansive Mappings in Generalized Metric Spaces Priya Shahi Jatinderdeep Kaur S. S. Bhatia Ingeniería Gmetric spaces Weakly compatible Expansive mapping Common fixed point In this paper, we establish a common fixed point theorem for expansive mappings by using the concept of weak compatibility in the setting of G -metric spaces. This result generalizes the re sult of Ahmed [2] from 2-metric spaces to G -metric spaces by removing the condition of sequential continuity of the mappings. Further, we generalize and extend the theorem of Ş ahin and Telci [20] to G -metric spaces and thereby extending the theorem of Wa ng et al. [23] for a pair of mappings to G -metric spaces. Some comparative examples are constructed which illustrate the obtained results. 2014 artículo científico 1665-6423 https://www.redalyc.org/articulo.oa?id=47431368025 en http://www.redalyc.org/revista.oa?id=474 Journal of Applied Research and Technology application/pdf Universidad Nacional Autónoma de México Journal of Applied Research and Technology (México) Num.3 Vol.12 |
| format | Artículo científico |
| id | redalyc_47431368025 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Universidad Nacional Autónoma de México |
| spellingShingle | Common Fixed Points of Expansive Mappings in Generalized Metric Spaces Priya Shahi Ingeniería Gmetric spaces Weakly compatible Expansive mapping Common fixed point Common Fixed Points of Expansive Mappings in Generalized Metric Spaces Priya Shahi Jatinderdeep Kaur S. S. Bhatia Ingeniería Gmetric spaces Weakly compatible Expansive mapping Common fixed point In this paper, we establish a common fixed point theorem for expansive mappings by using the concept of weak compatibility in the setting of G -metric spaces. This result generalizes the re sult of Ahmed [2] from 2-metric spaces to G -metric spaces by removing the condition of sequential continuity of the mappings. Further, we generalize and extend the theorem of Ş ahin and Telci [20] to G -metric spaces and thereby extending the theorem of Wa ng et al. [23] for a pair of mappings to G -metric spaces. Some comparative examples are constructed which illustrate the obtained results. 2014 artículo científico 1665-6423 https://www.redalyc.org/articulo.oa?id=47431368025 en http://www.redalyc.org/revista.oa?id=474 Journal of Applied Research and Technology application/pdf Universidad Nacional Autónoma de México Journal of Applied Research and Technology (México) Num.3 Vol.12 |
| title | Common Fixed Points of Expansive Mappings in Generalized Metric Spaces |
| topic | Ingeniería Gmetric spaces Weakly compatible Expansive mapping Common fixed point |
| url | https://www.redalyc.org/articulo.oa?id=47431368025 |