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Mathematics 2017, 5(2), 23; doi:10.3390/math5020023

Best Proximity Point Results in Non-Archimedean Modular Metric Space

1
Department of Mathematics, Farhangian University, Iran
2
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
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Abstract

In this paper, we introduce the new notion of Suzuki-type ( α , β , θ , γ ) -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 P λ -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. View Full-Text
Keywords: best proximity point; fixed point; modular metric space; weak P1-property best proximity point; fixed point; modular metric space; weak P1-property
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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Paknazar, M.; Sen, M.D. Best Proximity Point Results in Non-Archimedean Modular Metric Space. Mathematics 2017, 5, 23.

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