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

Ali Abkar, Narges Moezzifar and Azizollah Azizi
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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

Mathematics, 2016, vol. 4, issue 4, 1-16

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.

Keywords: best proximity point; b -metric space; b q -metric space; ordered rational proximal contraction; b q -proximally order preserving mapping (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2016
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