Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair

Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair

In this paper, a new type of non-self-mapping, called Berinde MT-cyclic contractions, is introduced and studied. Best proximity point theorems for this type of mappings in a metric space are presented. Some examples illustrating our main results are also given. Our results generalize and improve som...

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Main Authors: Chalongchai Klanarong, Tanadon Chaobankoh
Format: Article
Language:English
Published: Hindawi Limited 2018-01-01
Series:International Journal of Mathematics and Mathematical Sciences
Online Access:http://dx.doi.org/10.1155/2018/9510402
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spelling doaj-2b4aa47de6e5436db3e8e65aa9c5df622020-11-24T23:52:32ZengHindawi LimitedInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252018-01-01201810.1155/2018/95104029510402Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal PairChalongchai Klanarong0Tanadon Chaobankoh1Department of Mathematics, Faculty of Science, Mahasarakham University, Mahasarakham 44150, ThailandCenter of Excellence in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200, ThailandIn this paper, a new type of non-self-mapping, called Berinde MT-cyclic contractions, is introduced and studied. Best proximity point theorems for this type of mappings in a metric space are presented. Some examples illustrating our main results are also given. Our results generalize and improve some known results in the literature.http://dx.doi.org/10.1155/2018/9510402
collection DOAJ
language English
format Article
sources DOAJ
author Chalongchai Klanarong
Tanadon Chaobankoh
spellingShingle Chalongchai Klanarong
Tanadon Chaobankoh
Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair
International Journal of Mathematics and Mathematical Sciences
author_facet Chalongchai Klanarong
Tanadon Chaobankoh
author_sort Chalongchai Klanarong
title Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair
title_short Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair
title_full Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair
title_fullStr Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair
title_full_unstemmed Best Proximity Point Theorems for a Berinde MT-Cyclic Contraction on a Semisharp Proximal Pair
title_sort best proximity point theorems for a berinde mt-cyclic contraction on a semisharp proximal pair
publisher Hindawi Limited
series International Journal of Mathematics and Mathematical Sciences
issn 0161-1712
1687-0425
publishDate 2018-01-01
description In this paper, a new type of non-self-mapping, called Berinde MT-cyclic contractions, is introduced and studied. Best proximity point theorems for this type of mappings in a metric space are presented. Some examples illustrating our main results are also given. Our results generalize and improve some known results in the literature.
url http://dx.doi.org/10.1155/2018/9510402
work_keys_str_mv AT chalongchaiklanarong bestproximitypointtheoremsforaberindemtcycliccontractiononasemisharpproximalpair
AT tanadonchaobankoh bestproximitypointtheoremsforaberindemtcycliccontractiononasemisharpproximalpair
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