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Some Best Proximity Point Results in the Orthogonal \(0\)-Complete \(b\)-Metric-Like Spaces

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Abstract

Since Gordji et al. [26] suggested the concept of the orthogonal set, many authors investigated a uniqueness of best proximal point, but they used continuity of metric \(d\). Here, we proved the uniqueness of the best proximal point under Banach and Hardy–Rodgers type of contraction with appropriate conditions in the orthogonal \(0\)-complete \(b\)-metric-like spaces without continuity conditions.

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Funding

The research of the second author is partially supported by the Ministry of Education, Science and Technological Development, Republic of Serbia, as part of project no. TR36002.

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Authors and Affiliations

  1. Union University, Belgrade, Serbia

    M. Gardašević-Filipović

  2. University of Belgrade, Belgrade, Serbia

    K. Kukić

  3. The Academy of Applied Technical Studies Belgrade, Belgrade, Serbia

    D. Gardašević

  4. University of Banja Luka, Banja Luka, Bosnia and Herzegovina

    Z. D. Mitrović

Authors
  1. M. Gardašević-Filipović
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  2. K. Kukić
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  3. D. Gardašević
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  4. Z. D. Mitrović
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Corresponding authors

Correspondence to M. Gardašević-Filipović, K. Kukić, D. Gardašević or Z. D. Mitrović.

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The authors declare that they have no conflicts of interest.

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Gardašević-Filipović, M., Kukić, K., Gardašević, D. et al. Some Best Proximity Point Results in the Orthogonal \(0\)-Complete \(b\)-Metric-Like Spaces. J. Contemp. Mathemat. Anal. 58, 105–115 (2023). https://doi.org/10.3103/S1068362323020036

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  • DOI: https://doi.org/10.3103/S1068362323020036

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