Best Proximity Point Results in Non-Archimedean Modular Metric Space
Department of Mathematics, Farhangian University, Iran
IIDP, University of Basque Country, Bilbao-48940, Spain
Author to whom correspondence should be addressed.
Received: 14 December 2016 / Revised: 15 March 2017 / Accepted: 20 March 2017 / Published: 5 April 2017
In this paper, we introduce the new notion of Suzuki-type
-contractive mapping and investigate the existence and uniqueness of the best proximity point for such mappings in non-Archimedean modular metric space using the weak
-property. Meanwhile, we present an illustrative example to emphasize the realized improvements. These obtained results extend and improve certain well-known results in the literature.
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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MDPI and ACS Style
Paknazar, M.; Sen, M.D. Best Proximity Point Results in Non-Archimedean Modular Metric Space. Mathematics 2017, 5, 23.
Paknazar M, Sen MD. Best Proximity Point Results in Non-Archimedean Modular Metric Space. Mathematics. 2017; 5(2):23.
Paknazar, Mohadeshe; Sen, Manuel D. 2017. "Best Proximity Point Results in Non-Archimedean Modular Metric Space." Mathematics 5, no. 2: 23.
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