Common Best Proximity Points and Completeness of F-Metric Spaces
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Materia
Common best proximity point Proximally lambda-psi-dominated contraction Generalized if beta gamma -proximal contraction Berinde-type weak proximal contraction Generalized alpha-phi-proximal contraction F-metric spaces
Date
2023-01-05Referencia bibliográfica
Zhou, M... [et al.]. Common Best Proximity Points and Completeness of FMetric Spaces. Mathematics 2023, 11, 281. [https://doi.org/10.3390/math11020281]
Sponsorship
High Level Project of Hainan Provincial Natural Science Foundation 621RC602; Key Special Project of University of Sanya USY22XK-04Abstract
In this paper, we introduce three classes of proximal contractions that are called the proximally lambda - psi -dominated contractions, generalized eta(gamma)(beta)-proximal contractions and Berinde-type weak proximal contractions, and obtain common best proximity points for these proximal contractions in the setting of F- metric spaces. Further, we obtain the best proximity point result for generalized alpha - phi -proximal contractions in F- metric spaces. As an application, fixed point and coincidence point results for these contractions are obtained. Some examples are provided to support the validity of our main results. Moreover, we obtain a completeness characterization of the F - metric spaces via best proximity points.
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