On the existence of fixed points that belong to the zero set of a certain function
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | O'Regan, Donal | |
| dc.contributor.author | Samet, Bessem | |
| dc.contributor.author | O’Regan, Donal | |
| dc.date.accessioned | 2024-07-05T14:33:02Z | |
| dc.date.available | 2024-07-05T14:33:02Z | |
| dc.date.issued | 2015 | |
| dc.description | KARAPINAR, ERDAL/0000-0002-6798-3254; | en_US |
| dc.description.abstract | Let T : X -> X be a given operator and F-T be the set of its fixed points. For a certain function phi : X -> [0,infinity), we say that F-T is phi-admissible if F-T is nonempty and F-T subset of Z(phi), where Z(phi) is the zero set of phi. In this paper, we study the phi-admissibility of a new class of operators. As applications, we establish a new homotopy result and we obtain a partial metric version of the Boyd-Wong fixed point theorem. | en_US |
| dc.description.sponsorship | Deanship of Scientific Research at King Saud University through International Research Group [IRG14-04] | en_US |
| dc.description.sponsorship | The third author would like to extend his sincere appreciation to the Deanship of Scientific Research at King Saud University for its funding of this research through the International Research Group Project No. IRG14-04. | en_US |
| dc.description.sponsorship | Deanship of Scientific Research, King Saud University, (IRG14-04) | |
| dc.identifier.doi | 10.1186/s13663-015-0401-7 | |
| dc.identifier.issn | 1687-1812 | |
| dc.identifier.issn | 1687-1820 | |
| dc.identifier.scopus | 2-s2.0-84940039773 | |
| dc.identifier.uri | https://doi.org/10.1186/s13663-015-0401-7 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/858 | |
| 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 | phi-admissible | en_US |
| dc.subject | fixed point | en_US |
| dc.subject | homotopy result | en_US |
| dc.subject | partial metric | en_US |
| dc.subject | Φ-admissible | |
| dc.title | On the existence of fixed points that belong to the zero set of a certain function | en_US |
| dc.type | Article | en_US |
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| gdc.author.id | KARAPINAR, ERDAL/0000-0002-6798-3254 | |
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| gdc.author.wosid | KARAPINAR, ERDAL/H-3177-2011 | |
| gdc.author.wosid | Samet, Bessem/D-3465-2015 | |
| gdc.author.wosid | , Bessem/AFP-9481-2022 | |
| gdc.author.wosid | O'Regan, Donal/I-3184-2015 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Karapinar, Erdal] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey; [Karapinar, Erdal; O'Regan, Donal] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah 21413, Saudi Arabia; [O'Regan, Donal] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland; [Samet, Bessem] King Saud Univ, Coll Sci, Dept Math, Riyadh 11451, Saudi Arabia | en_US |
| gdc.description.issue | 1 | |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.volume | 2015 | |
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| gdc.oaire.keywords | phi-admissible | |
| gdc.oaire.keywords | fixed point | |
| gdc.oaire.keywords | partial metric-spaces | |
| gdc.oaire.keywords | Applied Mathematics | |
| gdc.oaire.keywords | mappings | |
| gdc.oaire.keywords | generalized contractions | |
| gdc.oaire.keywords | Geometry and Topology | |
| gdc.oaire.keywords | homotopy result | |
| gdc.oaire.keywords | theorems | |
| gdc.oaire.keywords | partial metric | |
| gdc.oaire.keywords | Fixed-point and coincidence theorems (topological aspects) | |
| gdc.oaire.keywords | Fixed-point theorems | |
| gdc.oaire.keywords | \(\varphi\)-admissible | |
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