On common best proximity points for generalized \(\alpha-\psi\)-proximal contractions

Volume 9, Issue 5, pp 2658--2670 http://dx.doi.org/10.22436/jnsa.009.05.62

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Authors

Hassen Aydi - Department of Mathematics, College of Education of Jubail, University of Dammam, 31961, Saudi Arabia. - Department of Medical Research, China Medical University Hospital, China Medical University, Taichung, Taiwan. Abdelbasset Felhi - Department of Mathematics and Statistics, College of Sciences, King Faisal University, Hafouf, 31982, Saudi Arabia. Erdal Karapinar - Department of Mathematics, Atilim University, Incek, Ankara, 06836, Turkey.

Abstract

We establish some common best proximity point results for generalized \(\alpha-\psi\)-proximal contractive non-self mappings. We provide some concrete examples. We also derive some consequences on some best proximity results on a metric space endowed with a graph.

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Keywords

• Common best proximity point
• common fixed point
• \(\alpha-\psi\)-proximal contraction.

MSC

•  47H10
•  54H25

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