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Best Proximity Point Theorems in Partially Ordered b -Quasi Metric Spaces

Author

Listed:
  • Ali Abkar

    (Department of Mathematics, Imam Khomeini International University, Qazvin 34149, Iran)

  • Narges Moezzifar

    (Department of Mathematics, Imam Khomeini International University, Qazvin 34149, Iran)

  • Azizollah Azizi

    (Department of Mathematics, Imam Khomeini International University, Qazvin 34149, Iran)

Abstract

In this paper, we introduce the notion of an ordered rational proximal contraction in partially ordered b -quasi metric spaces. We shall then prove some best proximity point theorems in partially ordered b -quasi metric spaces.

Suggested Citation

  • Ali Abkar & Narges Moezzifar & Azizollah Azizi, 2016. "Best Proximity Point Theorems in Partially Ordered b -Quasi Metric Spaces," Mathematics, MDPI, vol. 4(4), pages 1-16, November.
    • Handle: RePEc:gam:jmathe:v:4:y:2016:i:4:p:66-:d:83840
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    References listed on IDEAS

    as
    1. S. Sadiq Basha, 2011. "Best proximity points: global optimal approximate solutions," Journal of Global Optimization, Springer, vol. 49(1), pages 15-21, January.
    2. N. Shahzad & S. Sadiq Basha & R. Jeyaraj, 2011. "Common Best Proximity Points: Global Optimal Solutions," Journal of Optimization Theory and Applications, Springer, vol. 148(1), pages 69-78, January.
    3. S. Sadiq Basha, 2011. "Best Proximity Points: Optimal Solutions," Journal of Optimization Theory and Applications, Springer, vol. 151(1), pages 210-216, October.
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