• Title of article

    Orthogonal b-Metric Spaces and Best Proximity Points

  • Author/Authors

    Fallahi, Kamal Payame Noor University, Tehran , Eivani, Shirin Payame Noor University, Tehran

  • Pages
    17
  • From page
    1
  • To page
    17
  • Abstract
    The aim of this research is to define ⊥-proximally increasing mapping and obtain several best proximity point results concerning this mapping in the framework of new spaces, which is called orthogonal bmetric spaces. Also, several well-known fixed point results in such spaces are established. All main results and new definitions are supported by some illustrative and interesting examples
  • Keywords
    Best proximity point , fixed point , O-set , orthogonal b-metric space
  • Journal title
    Journal of Mathematical Extension(IJME)
  • Serial Year
    2022
  • Record number

    2702357