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: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/2018/9510402 |
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| _version_ | 1850228440608800768 |
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| author | Chalongchai Klanarong Tanadon Chaobankoh |
| author_facet | Chalongchai Klanarong Tanadon Chaobankoh |
| author_sort | Chalongchai Klanarong |
| collection | DOAJ |
| 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. |
| format | Article |
| id | doaj-art-2b4aa47de6e5436db3e8e65aa9c5df62 |
| institution | OA Journals |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-2b4aa47de6e5436db3e8e65aa9c5df622025-08-20T02:04:31ZengWileyInternational 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 |
| 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 |
| title | 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_short | 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 |
| url | http://dx.doi.org/10.1155/2018/9510402 |
| work_keys_str_mv | AT chalongchaiklanarong bestproximitypointtheoremsforaberindemtcycliccontractiononasemisharpproximalpair AT tanadonchaobankoh bestproximitypointtheoremsforaberindemtcycliccontractiononasemisharpproximalpair |