2025/12/6
Kamal Fallahi

Kamal Fallahi

Academic rank: Associate Professor
ORCID: 0000-0003-3400-4424
Education: PhD.
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Faculty: Faculty of Science
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E-mail: k.fallahi [at] uok.ac.ir
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Research

Title
Orthogonal b-Metric Spaces and Best Proximity Points
Type
JournalPaper
Keywords
Best proximity point, fixed point, O-set, orthogonal b-metric space
Year
2021
Journal journal of mathematical extension
DOI
Researchers Kamal Fallahi ، Shirin Eivani

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.