Best Proximity Point Results in Non-Archimedean Modular Metric Space

Mohadeshe Paknazar and Manuel De la Sen
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Mohadeshe Paknazar: Department of Mathematics, Farhangian University, Iran
Manuel De la Sen: IIDP, University of Basque Country, Bilbao-48940, Spain

Mathematics, 2017, vol. 5, issue 2, 1-20

Abstract: 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 P ? -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.

Keywords: best proximity point; fixed point; modular metric space; weak P1-property (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2017
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