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Best proximity point results for p-proximal contractions

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Abstract

We introduce the concepts of p-proximal contraction and p-proximal contractive mappings on metric spaces. Then we give some best proximity point results for such mappings. Also we provide some illustrative examples to compare our results with some earliers.

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Acknowledgement

The authors are thankful to the referee for making valuable suggestions leading to the better presentations of the paper.

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Authors and Affiliations

  1. Nonlinear Analysis Research Group, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    I. Altun

  2. Faculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    I. Altun

  3. Department of Mathematics, Faculty of Science, Çankırı Karatekin University, 18100, Çankırı, Turkey

    M. Aslantas

  4. Department of Mathematics, Faculty of Science and Arts, Amasya University, Amasya, Turkey

    H. Sahin

Authors
  1. I. Altun
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  2. M. Aslantas
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  3. H. Sahin
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Correspondence to I. Altun.

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Altun, I., Aslantas, M. & Sahin, H. Best proximity point results for p-proximal contractions. Acta Math. Hungar. 162, 393–402 (2020). https://doi.org/10.1007/s10474-020-01036-3

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  • DOI: https://doi.org/10.1007/s10474-020-01036-3

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