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Strong convergence of best proximity points via projection operators with an application

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Abstract

In this paper, we propose some novel iterative algorithms that converge strongly to the best proximity point using the class of nonexpansive mappings. We also furnish a numerical example to support our claims. As an application, we prove that both algorithms converge to a solution of an equilibrium problem.

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Acknowledgements

The first author is grateful for a Junior Research Fellowship from the UGC-CSIR. The second author is thankful for the research funding 02011/11/2020/ NBHM (RP)/R &D-II/7830 from the NBHM, DAE.

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Authors and Affiliations

  1. School of Mathematics, Thapar Institute of Engineering and Technology, Patiala, 147004, India

    Shagun Sharma & Sumit Chandok

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  1. Shagun Sharma
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  2. Sumit Chandok
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Correspondence to Shagun Sharma.

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Communicated by S Ponnusamy.

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Sharma, S., Chandok, S. Strong convergence of best proximity points via projection operators with an application. J Anal (2024). https://doi.org/10.1007/s41478-024-00761-0

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