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Best proximity points in noncommutative Banach spaces

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Abstract

This paper introduces the concept of k-ordered proximal contractions and then study best proximity point results for these mappings. An example is given to show accuracy and significance of our claims.

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Acknowledgements

The authors thank the reviewers for the critical comments. The present version of the paper owes much to their precise and kind suggestions to improve. Shivam Rawat would like to thank CSIR-HRDG Fund, under grant 09/386(0064)/2019-EMR-1, for financial support.

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Authors and Affiliations

  1. Department of Mathematics and Statistical Sciences, Lahore School of Economics, Lahore, 53200, Pakistan

    Ismat Beg

  2. Department of Mathematics, H.N.B. Garhwal University, Srinagar, Uttarakhand, 246174, India

    Ayush Bartwal, Shivam Rawat & R. C. Dimri

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  1. Ismat Beg
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  2. Ayush Bartwal
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  3. Shivam Rawat
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  4. R. C. Dimri
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Communicated by Carlos Conca.

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Beg, I., Bartwal, A., Rawat, S. et al. Best proximity points in noncommutative Banach spaces. Comp. Appl. Math. 41, 41 (2022). https://doi.org/10.1007/s40314-021-01741-x

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  • DOI: https://doi.org/10.1007/s40314-021-01741-x

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