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Existence of Best Proximity Point in O -CompleteMetric Spaces

Author

Listed:
  • 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)

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.

Suggested Citation

  • G. Poonguzali & V. Pragadeeswarar & Manuel De la Sen, 2023. "Existence of Best Proximity Point in O -CompleteMetric Spaces," Mathematics, MDPI, vol. 11(16), pages 1-9, August.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:16:p:3453-:d:1213684
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    References listed on IDEAS

    as
    1. Ali Abkar & Moosa Gabeleh, 2013. "Best proximity points of non-self mappings," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 21(2), pages 287-295, July.
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