Existence of Best Proximity Point in O-CompleteMetric Spaces

Author:

Poonguzali G.1,Pragadeeswarar V.1ORCID,De la Sen Manuel2ORCID

Affiliation:

1. Department of Mathematics, Amrita School of Physical Sciences, Amrita Vishwa Vidyapeetham, Coimbatore 641112, India

2. 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.

Funder

Basque Government

Publisher

MDPI AG

Subject

General Mathematics,Engineering (miscellaneous),Computer Science (miscellaneous)

Reference21 articles.

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4. Best proximity pairs and best approximations;Veeramani;Acta Sci. Math.,1997

5. Best proximity pair theorems for multifunctions with open fibres;Veeramani;J. Approx. Theory,2000

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