The Existence of Optimal Approximate Solution Theorems for Generalized Α-Proximal Contraction Non-Self Mappings and Applications
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Sintunavarat, Wutiphol | |
| dc.date.accessioned | 2024-07-05T14:27:35Z | |
| dc.date.available | 2024-07-05T14:27:35Z | |
| dc.date.issued | 2013 | |
| dc.description | KARAPINAR, ERDAL/0000-0002-6798-3254; Sintunavarat, Wutiphol/0000-0002-0932-1332 | en_US |
| dc.description.abstract | In this paper, we investigate the sufficient conditions to find a best proximity point for a certain class of non-self mappings. It is well known that optimization problems can be transformed to the problems of the existence of a best proximity point. Hence, improvement in the best proximity point theory implicitly develops the theory of optimization. Our presented results generalize, extent and improve various well-known results on the topic in the literature. In particular, we consider some applications of our results to the best proximity point theorems on a class of metric spaces endowed with an arbitrary binary relation which involves the partially ordered metric spaces. | en_US |
| dc.identifier.doi | 10.1186/1687-1812-2013-323 | |
| dc.identifier.issn | 1687-1812 | |
| dc.identifier.scopus | 2-s2.0-84901763514 | |
| dc.identifier.uri | https://doi.org/10.1186/1687-1812-2013-323 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/258 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer international Publishing Ag | en_US |
| dc.relation.ispartof | Fixed Point Theory and Applications | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | approximately compact | en_US |
| dc.subject | best proximity point | en_US |
| dc.subject | binary relation | en_US |
| dc.subject | generalized alpha-proximal contraction of the first kind | en_US |
| dc.subject | generalized alpha-proximal contraction of the second kind | en_US |
| dc.title | The Existence of Optimal Approximate Solution Theorems for Generalized Α-Proximal Contraction Non-Self Mappings and Applications | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | KARAPINAR, ERDAL/0000-0002-6798-3254 | |
| gdc.author.id | Sintunavarat, Wutiphol/0000-0002-0932-1332 | |
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| gdc.author.scopusid | 30567861500 | |
| gdc.author.wosid | Sintunavarat, Wutiphol/AHE-9235-2022 | |
| gdc.author.wosid | KARAPINAR, ERDAL/H-3177-2011 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Karapinar, Erdal] Atilim Univ, Dept Math, Fac Sci & Art, TR-06836 Ankara, Turkey; [Sintunavarat, Wutiphol] Thammasat Univ, Rangsit Ctr, Dept Math & Stat, Fac Sci & Technol, Pathum Thani 12121, Thailand | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.volume | 2013 | |
| gdc.identifier.openalex | W2153088752 | |
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| gdc.oaire.keywords | binary relation | |
| gdc.oaire.keywords | generalized \(\alpha\)-proximal contraction of the second kind | |
| gdc.oaire.keywords | Fixed-point and coincidence theorems (topological aspects) | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces | |
| gdc.oaire.keywords | approximately compact | |
| gdc.oaire.keywords | generalized \(\alpha\)-proximal contraction of the first kind | |
| gdc.oaire.keywords | best proximity point | |
| gdc.oaire.keywords | Geometry and Topology | |
| gdc.oaire.keywords | Special maps on metric spaces | |
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| gdc.virtual.author | Karapınar, Erdal | |
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