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A Discussion on p-Geraghty Contraction on mw-Quasi-Metric Spaces

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A Discussion on p-Geraghty Contraction on mw-Quasi-Metric Spaces

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Alegre Gil, MC.; Fulga, A.; Karapinar, E.; Tirado Peláez, P. (2020). A Discussion on p-Geraghty Contraction on mw-Quasi-Metric Spaces. Mathematics. 8(9):1-10. https://doi.org/10.3390/math8091437

Por favor, use este identificador para citar o enlazar este ítem: http://hdl.handle.net/10251/172143

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Título: A Discussion on p-Geraghty Contraction on mw-Quasi-Metric Spaces
Autor: Alegre Gil, Maria Carmen Fulga, Andreea Karapinar, Erdal Tirado Peláez, Pedro
Entidad UPV: Universitat Politècnica de València. Departamento de Matemática Aplicada - Departament de Matemàtica Aplicada
Fecha difusión:
Resumen:
[EN] In this paper we consider a kind of Geraghty contractions by using mw-distances in the setting of complete quasi-metric spaces. We provide fixed point theorems for this type of mappings and illustrate with some examples ...[+]
Palabras clave: Fixed point , Metric space , Quasi-metric space
Derechos de uso: Reconocimiento (by)
Fuente:
Mathematics. (eissn: 2227-7390 )
DOI: 10.3390/math8091437
Editorial:
MDPI AG
Versión del editor: https://doi.org/10.3390/math8091437
Código del Proyecto:
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PGC2018-095709-B-C21/ES/METRICAS DIFUSAS Y OPERADORES DE INDISTINGUIBILIDAD: APLICACIONES EN ROBOTICA/
Agradecimientos:
This research was partially supported by the Spanish Ministry of Science, Innovation and Universities. Grant number PGC2018-095709-B-C21 and AEI/FEDER, UE funds.
Tipo: Artículo

References

Geraghty, M. A. (1973). On contractive mappings. Proceedings of the American Mathematical Society, 40(2), 604-604. doi:10.1090/s0002-9939-1973-0334176-5

Gupta, V., Shatanawi, W., & Mani, N. (2016). Fixed point theorems for $$(\psi , \beta )$$ ( ψ , β ) -Geraghty contraction type maps in ordered metric spaces and some applications to integral and ordinary differential equations. Journal of Fixed Point Theory and Applications, 19(2), 1251-1267. doi:10.1007/s11784-016-0303-2

Cho, S.-H., Bae, J.-S., & Karapınar, E. (2013). Fixed point theorems for α-Geraghty contraction type maps in metric spaces. Fixed Point Theory and Applications, 2013(1). doi:10.1186/1687-1812-2013-329 [+]
Geraghty, M. A. (1973). On contractive mappings. Proceedings of the American Mathematical Society, 40(2), 604-604. doi:10.1090/s0002-9939-1973-0334176-5

Gupta, V., Shatanawi, W., & Mani, N. (2016). Fixed point theorems for $$(\psi , \beta )$$ ( ψ , β ) -Geraghty contraction type maps in ordered metric spaces and some applications to integral and ordinary differential equations. Journal of Fixed Point Theory and Applications, 19(2), 1251-1267. doi:10.1007/s11784-016-0303-2

Cho, S.-H., Bae, J.-S., & Karapınar, E. (2013). Fixed point theorems for α-Geraghty contraction type maps in metric spaces. Fixed Point Theory and Applications, 2013(1). doi:10.1186/1687-1812-2013-329

Alegre, C., & Marín, J. (2016). Modified w-distances on quasi-metric spaces and a fixed point theorem on complete quasi-metric spaces. Topology and its Applications, 203, 32-41. doi:10.1016/j.topol.2015.12.073

Alegre Gil, C., Karapınar, E., Marín Molina, J., & Tirado Peláez, P. (2019). Revisiting Bianchini and Grandolfi Theorem in the Context of Modified $$\omega $$-Distances. Results in Mathematics, 74(4). doi:10.1007/s00025-019-1074-z

Alegre, C., Marín, J., & Romaguera, S. (2014). A fixed point theorem for generalized contractions involving w-distances on complete quasi-metric spaces. Fixed Point Theory and Applications, 2014(1). doi:10.1186/1687-1812-2014-40

Park, S. (2000). On generalizations of the Ekeland-type variational principles. Nonlinear Analysis: Theory, Methods & Applications, 39(7), 881-889. doi:10.1016/s0362-546x(98)00253-3

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