Orthogonal b-Metric Spaces and Best Proximity Points

Author(s):

K. Fallahi∗ , Sh. Eivani

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Journal of Mathematical Extension, Volume:16 Issue: 6, Jun 2022
Page:
1
https://magiran.com/p2372561