Best proximity points and extension of Mizoguchi-Takahashi's fixed point theorems
| dc.contributor.author | Kumam, Poom | |
| dc.contributor.author | Aydi, Hassen | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Sintunavarat, Wutiphol | |
| dc.date.accessioned | 2024-07-05T14:28:31Z | |
| dc.date.available | 2024-07-05T14:28:31Z | |
| dc.date.issued | 2013 | |
| dc.description | Aydi, Hassen/0000-0003-4606-7211; KARAPINAR, ERDAL/0000-0002-6798-3254; , Hassen/0000-0003-3896-3809; Sintunavarat, Wutiphol/0000-0002-0932-1332; Kumam, Poom/0000-0002-5463-4581 | en_US |
| dc.description.abstract | In this paper, we introduce a multi-valued cyclic generalized contraction by extending the Mizoguchi and Takahashi's contraction for non-self mappings. We also establish a best proximity point for such type contraction mappings in the context of metric spaces. Later, we characterize this result to investigate the existence of best proximity point theorems in uniformly convex Banach spaces. We state some illustrative examples to support our main theorems. Our results extend, improve and enrich some celebrated results in the literature, such as Nadler's fixed point theorem, Mizoguchi and Takahashi's fixed point theorem. | en_US |
| dc.description.sponsorship | Commission on Higher Education; Thailand Research Fund; King Mongkut's University of Technology Thonburi [MRG5580213] | en_US |
| dc.description.sponsorship | Poom Kumam was supported by the Commission on Higher Education, the Thailand Research Fund and the King Mongkut's University of Technology Thonburi (Grant No. MRG5580213). | en_US |
| dc.description.sponsorship | Thailand Research Fund, TRF; King Mongkut's University of Technology Thonburi, KMUTT, (MRG5580213); Commission on Higher Education, CHED | |
| dc.identifier.doi | 10.1186/1687-1812-2013-242 | |
| dc.identifier.issn | 1687-1812 | |
| dc.identifier.issn | 1687-1820 | |
| dc.identifier.scopus | 2-s2.0-84893203430 | |
| dc.identifier.uri | https://doi.org/10.1186/1687-1812-2013-242 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/400 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer int Publ Ag | en_US |
| dc.relation.ispartof | Fixed Point Theory and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | best proximity points | en_US |
| dc.subject | multi-valued contraction | en_US |
| dc.subject | cyclic contraction | en_US |
| dc.subject | MT-function (or R-function) | en_US |
| dc.title | Best proximity points and extension of Mizoguchi-Takahashi's fixed point theorems | en_US |
| dc.type | Article | en_US |
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| gdc.author.id | Aydi, Hassen/0000-0003-4606-7211 | |
| gdc.author.id | KARAPINAR, ERDAL/0000-0002-6798-3254 | |
| gdc.author.id | , Hassen/0000-0003-3896-3809 | |
| gdc.author.id | Sintunavarat, Wutiphol/0000-0002-0932-1332 | |
| gdc.author.id | Kumam, Poom/0000-0002-5463-4581 | |
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| gdc.author.wosid | Aydi, Hassen/A-3577-2015 | |
| gdc.author.wosid | Sintunavarat, Wutiphol/AHE-9235-2022 | |
| gdc.author.wosid | KARAPINAR, ERDAL/H-3177-2011 | |
| gdc.author.wosid | , Hassen/A-3577-2015 | |
| gdc.author.wosid | Kumam, Poom/E-7122-2011 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Kumam, Poom] KMUTT, Fac Sci, Dept Math, Bangkok 10140, Thailand; [Aydi, Hassen] Univ Sousse, Inst Super Informat & Technol Commun Hammam Souss, H Sousse, Tunisia; [Karapinar, Erdal] Atilim Univ, Dept Math, Ankara, Turkey; [Sintunavarat, Wutiphol] Thammasat Univ, Fac Sci & Technol, Rangsit Ctr, Dept Math & Stat, Pathum Thani 12121, Thailand | en_US |
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| gdc.virtual.author | Karapınar, Erdal | |
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