Existence of Best Proximity Point in O -CompleteMetric Spaces

G. Poonguzali, V. Pragadeeswarar () and Manuel De la Sen ()
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G. Poonguzali: Department of Mathematics, Amrita School of Physical Sciences, Amrita Vishwa Vidyapeetham, Coimbatore 641112, India
V. Pragadeeswarar: Department of Mathematics, Amrita School of Physical Sciences, Amrita Vishwa Vidyapeetham, Coimbatore 641112, India
Manuel De la Sen: Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, 48940 Leioa, Bizkaia, Spain

Mathematics, 2023, vol. 11, issue 16, 1-9

Abstract: In this work, we prove the existence of the best proximity point results for ⊥-contraction (orthogonal-contraction) mappings on an O -complete metric space (orthogonal-complete metric space). Subsequently, these existence results are employed to establish the common best proximity point result. Finally, we provide suitable examples to demonstrate the validity of our results.

Keywords: best proximity point; O-complete metric space; O-closed set; P-property; weakly proximally ?-preserving; ?-continuous (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
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