Last Remarks on <i>g</I>-metric Spaces and Related Fixed Point Theorems
| dc.contributor.author | Agarwal, Ravi P. | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Roldan Lopez de Hierro, Antonio Francisco | |
| dc.date.accessioned | 2024-07-05T14:31:00Z | |
| dc.date.available | 2024-07-05T14:31:00Z | |
| dc.date.issued | 2015-08-06 | |
| dc.description | Roldán López de Hierro, Antonio Francisco/0000-0002-6956-4328; KARAPINAR, ERDAL/0000-0002-6798-3254; Agarwal, Ravi P/0000-0003-0075-1704 | en_US |
| dc.description.abstract | In this report, we present some new fixed points theorems in the context of quasi-metric spaces that can be particularized in a wide range of different frameworks (metric spaces, partially ordered metric spaces, G-metric spaces, etc.). Our contractivity conditions involve different classes of functions and we study the case in which they only depend on a unique variable. Furthermore, we do not only introduce new contractivity conditions, but also expansivity conditions. As a consequence of our results, we announce that many fixed point results in G-metric spaces can be derived from the existing results if all arguments are not distinct. | en_US |
| dc.description.sponsorship | Junta de Andalucia by Andalusian CICYE [FQM-268] | en_US |
| dc.description.sponsorship | We are very thankful to the editor and to the anonymous reviewers for their careful reading of our manuscript and for their constructive reports, which have been very useful to improve the paper. The third author is grateful to the Department of Quantitative Methods for Economics and Business of the University of Granada (Spain). This manuscript has been partially supported by Junta de Andalucia by project FQM-268 of the Andalusian CICYE. | en_US |
| dc.description.sponsorship | Andalusian CICYE; Junta de Andalucía, (FQM-268); Junta de Andalucía | |
| dc.identifier.doi | 10.1007/s13398-015-0242-6 | |
| dc.identifier.issn | 1578-7303 | |
| dc.identifier.issn | 1579-1505 | |
| dc.identifier.scopus | 2-s2.0-84981719341 | |
| dc.identifier.uri | https://doi.org/10.1007/s13398-015-0242-6 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/638 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer-verlag Italia Srl | en_US |
| dc.relation.ispartof | Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas | |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Fixed point | en_US |
| dc.subject | Quasi-metric space | en_US |
| dc.subject | G-metric spaces | en_US |
| dc.subject | Contractivity condition | en_US |
| dc.subject | Picard sequence | en_US |
| dc.title | Last Remarks on <i>g</I>-metric Spaces and Related Fixed Point Theorems | en_US |
| dc.type | Article | en_US |
| dspace.entity.type | Publication | |
| gdc.author.id | Roldán López de Hierro, Antonio Francisco/0000-0002-6956-4328 | |
| gdc.author.id | KARAPINAR, ERDAL/0000-0002-6798-3254 | |
| gdc.author.id | Agarwal, Ravi P/0000-0003-0075-1704 | |
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| gdc.author.wosid | Roldán López de Hierro, Antonio Francisco/N-7880-2013 | |
| gdc.author.wosid | KARAPINAR, ERDAL/H-3177-2011 | |
| gdc.author.wosid | Agarwal, Ravi P/AEQ-9823-2022 | |
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| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Agarwal, Ravi P.] Texas A&M Univ Kingsville, Dept Math, Rhode Hall 217B,MSC 172, Kingsville, TX 78363 USA; [Agarwal, Ravi P.; Karapinar, Erdal] King Abdulaziz Univ, Dept Math, Nonlinear Anal & Appl Math Res Grp NAAM, Fac Sci, Jeddah 21589, Saudi Arabia; [Karapinar, Erdal] Atilim Univ, TR-06836 Ankara, Turkey; [Roldan Lopez de Hierro, Antonio Francisco] Univ Granada, Dept Quantitat Methods Econ & Business, Granada, Spain | en_US |
| gdc.description.endpage | 456 | en_US |
| gdc.description.issue | 2 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 433 | en_US |
| gdc.description.volume | 110 | en_US |
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| gdc.oaire.keywords | contractivity condition | |
| gdc.oaire.keywords | fixed point | |
| gdc.oaire.keywords | Fixed-point and coincidence theorems (topological aspects) | |
| gdc.oaire.keywords | Metric spaces, metrizability | |
| gdc.oaire.keywords | Picard sequence | |
| gdc.oaire.keywords | quasi-metric space | |
| gdc.oaire.keywords | \(G\)-metric spaces | |
| gdc.oaire.keywords | Special maps on metric spaces | |
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