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Comments on the paper “best proximity points in noncommutative Banach spaces"

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Abstract

Very recently I. Beg et al. [I. Beg, A. Bartwal, S. Rawat and R.C. Dimri, Best proximity points in noncommutative Banach spaces, Comp. Appl. Math., 41, 41 (2022)] introduced the concepts of k-ordered proximal contraction of the first kind and k-ordered proximal contraction of the second kind for non-self mappings and investigated the existence of best proximity points for these two classes of mappings. In the current paper, we show that their existence results are straightforward consequences of the same conclusions in fixed point theory.

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References

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Authors and Affiliations

  1. Department of Mathematics, Ayatollah Boroujerdi University, Boroujerd, Iran

    Moosa Gabeleh

  2. Department of Mathematics, School of Basic and Applied Sciences, Adamas University, Barasat, 700126, India

    Sumit Som

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  1. Moosa Gabeleh
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  2. Sumit Som
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Correspondence to Moosa Gabeleh.

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Communicated by Carlos Conca.

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Gabeleh, M., Som, S. Comments on the paper “best proximity points in noncommutative Banach spaces". Comp. Appl. Math. 42, 250 (2023). https://doi.org/10.1007/s40314-023-02390-y

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  • DOI: https://doi.org/10.1007/s40314-023-02390-y

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