Best Proximity Point Results in Non-Archimedean Modular Metric Space

Best Proximity Point Results in Non-Archimedean Modular Metric Space

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 ill...

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Bibliographic Details
Main Authors: Mohadeshe Paknazar, Manuel De la Sen
Format: Article
Language:English
Published: MDPI AG 2017-04-01
Series:Mathematics
Subjects:
best proximity point
fixed point
modular metric space
weak P1-property
Online Access:http://www.mdpi.com/2227-7390/5/2/23
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spelling doaj-823d9950c7784de1a518dd37fca7d62c2020-11-25T00:59:18ZengMDPI AGMathematics2227-73902017-04-01522310.3390/math5020023math5020023Best Proximity Point Results in Non-Archimedean Modular Metric SpaceMohadeshe Paknazar0Manuel De la Sen1Department of Mathematics, Farhangian University, IranIIDP, University of Basque Country, Bilbao-48940, SpainIn 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.http://www.mdpi.com/2227-7390/5/2/23best proximity pointfixed pointmodular metric spaceweak P1-property
collection DOAJ
language English
format Article
sources DOAJ
author Mohadeshe Paknazar
Manuel De la Sen
spellingShingle Mohadeshe Paknazar
Manuel De la Sen
Best Proximity Point Results in Non-Archimedean Modular Metric Space
Mathematics
best proximity point
fixed point
modular metric space
weak P1-property
author_facet Mohadeshe Paknazar
Manuel De la Sen
author_sort Mohadeshe Paknazar
title Best Proximity Point Results in Non-Archimedean Modular Metric Space
title_short Best Proximity Point Results in Non-Archimedean Modular Metric Space
title_full Best Proximity Point Results in Non-Archimedean Modular Metric Space
title_fullStr Best Proximity Point Results in Non-Archimedean Modular Metric Space
title_full_unstemmed Best Proximity Point Results in Non-Archimedean Modular Metric Space
title_sort best proximity point results in non-archimedean modular metric space
publisher MDPI AG
series Mathematics
issn 2227-7390
publishDate 2017-04-01
description 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.
topic best proximity point
fixed point
modular metric space
weak P1-property
url http://www.mdpi.com/2227-7390/5/2/23
work_keys_str_mv AT mohadeshepaknazar bestproximitypointresultsinnonarchimedeanmodularmetricspace
AT manueldelasen bestproximitypointresultsinnonarchimedeanmodularmetricspace
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