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Mathematics 2016, 4(4), 66; doi:10.3390/math4040066

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

Department of Mathematics, Imam Khomeini International University, Qazvin 34149, Iran
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Academic Editor: Sadayoshi Kojima
Received: 29 September 2016 / Revised: 15 November 2016 / Accepted: 21 November 2016 / Published: 26 November 2016
View Full-Text   |   Download PDF [264 KB, uploaded 26 November 2016]

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. View Full-Text
Keywords: best proximity point; b-metric space; bq-metric space; ordered rational proximal contraction; bq-proximally order preserving mapping best proximity point; b-metric space; bq-metric space; ordered rational proximal contraction; bq-proximally order preserving mapping
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Abkar, A.; Moezzifar, N.; Azizi, A. Best Proximity Point Theorems in Partially Ordered b-Quasi Metric Spaces. Mathematics 2016, 4, 66.

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