Orthogonal $b$-metric spaces and best proximity points

Authors

  • Kamal Fallahi Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran
  • Shirin Eivani

Keywords:

Best proximity point, fixed point, O-set, orthogonal $b$-metric space

Abstract

The aim of this research is to define $\bot$-proximally increasing mapping and obtain several best proximity point results concerning this mapping in the framework of new spaces, which is called orthogonal $b$-metric 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.

Author Biography

Kamal Fallahi, Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran

Assistant Professor

Department of Mathematics, Payame Noor University, P.O. Box 19395-3697, Tehran, Iran

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Published

2021-08-13

Issue

Vol. 16

Section

Vol. 16, No. 6, (2022)

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