Fixed Point Theorems in New Generalized Metric Spaces
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.author | Karapınar, Erdal | |
| dc.contributor.author | O'Regan, Donal | |
| dc.contributor.author | Roldan Lopez de Hierro, Antonio Francisco | |
| dc.contributor.author | Shahzad, Naseer | |
| dc.contributor.author | Karapınar, Erdal | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | Mathematics | |
| dc.contributor.other | 02. School of Arts and Sciences | |
| dc.contributor.other | 01. Atılım University | |
| dc.date.accessioned | 2024-07-05T14:30:57Z | |
| dc.date.available | 2024-07-05T14:30:57Z | |
| dc.date.issued | 2016 | |
| dc.description | Roldán López de Hierro, Antonio Francisco/0000-0002-6956-4328; KARAPINAR, ERDAL/0000-0002-6798-3254; | en_US |
| dc.description.abstract | The aim of our paper is to present new fixed point theorems under very general contractive conditions in generalized metric spaces which were recently introduced by Jleli and Samet in [Fixed Point Theory Appl. 2015 (2015), doi:10.1186/s13663-015-0312-7]. Although these spaces are not endowed with a triangle inequality, these spaces extend some well known abstract metric spaces (for example, b-metric spaces, Hitzler-Seda metric spaces, modular spaces with the Fatou property, etc.). We handle several types of contractive conditions. The main theorems we present involve a reflexive and transitive binary relation that is not necessarily a partial order. We give a counterexample to a recent fixed point result of Jleli and Samet. Our results extend and unify recent results in the context of partially ordered abstract metric spaces. | en_US |
| dc.description.sponsorship | Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah; DSR; Junta de Andalucia of the Andalusian CICYE [FQM-268] | en_US |
| dc.description.sponsorship | This article was funded by the Deanship of Scientific Research (DSR), King Abdulaziz University, Jeddah. N. Shahzad acknowledges with thanks DSR for financial support. A. F. Roldan Lopez de Hierro is grateful to the Department of Quantitative Methods for Economics and Business of the University of Granada. The same author was partially supported by Junta de Andalucia by project FQM-268 of the Andalusian CICYE. | en_US |
| dc.identifier.doi | 10.1007/s11784-016-0301-4 | |
| dc.identifier.issn | 1661-7738 | |
| dc.identifier.issn | 1661-7746 | |
| dc.identifier.scopus | 2-s2.0-84978150636 | |
| dc.identifier.uri | https://doi.org/10.1007/s11784-016-0301-4 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/633 | |
| dc.language.iso | en | en_US |
| dc.publisher | Springer Basel Ag | en_US |
| dc.rights | info:eu-repo/semantics/closedAccess | en_US |
| dc.subject | Generalized metric space | en_US |
| dc.subject | b-metric space | en_US |
| dc.subject | fixed point | en_US |
| dc.subject | contractive mapping | en_US |
| dc.title | Fixed Point Theorems in New Generalized Metric Spaces | 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.institutional | Karapınar, Erdal | |
| gdc.author.scopusid | 16678995500 | |
| gdc.author.scopusid | 36049459000 | |
| gdc.author.scopusid | 56874899500 | |
| gdc.author.scopusid | 7004122694 | |
| gdc.author.wosid | Roldán López de Hierro, Antonio Francisco/N-7880-2013 | |
| gdc.author.wosid | KARAPINAR, ERDAL/H-3177-2011 | |
| gdc.author.wosid | Shahzad, Naseer/H-9433-2012 | |
| gdc.coar.access | metadata only access | |
| gdc.coar.type | text::journal::journal article | |
| gdc.description.department | Atılım University | en_US |
| gdc.description.departmenttemp | [Karapinar, Erdal] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey; [Karapinar, Erdal] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah, Saudi Arabia; [O'Regan, Donal] Natl Univ Ireland, Sch Math Stat & Appl Math, Galway, Ireland; [Roldan Lopez de Hierro, Antonio Francisco] Univ Granada, Dept Quantitat Methods Econ & Business, Granada, Spain; [Roldan Lopez de Hierro, Antonio Francisco] Univ Jaen, PAIDI Res Grp FQM 268, Jaen, Spain; [Shahzad, Naseer] King Abdulaziz Univ, Dept Math, Operator Theory & Applicat Res Grp, POB 80203, Jeddah 21589, Saudi Arabia | en_US |
| gdc.description.endpage | 671 | en_US |
| gdc.description.issue | 3 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| gdc.description.scopusquality | Q2 | |
| gdc.description.startpage | 645 | en_US |
| gdc.description.volume | 18 | en_US |
| gdc.description.wosquality | Q1 | |
| gdc.identifier.openalex | W2470283175 | |
| gdc.identifier.wos | WOS:000384551700014 | |
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| gdc.openalex.normalizedpercentile | 0.89 | |
| gdc.opencitations.count | 11 | |
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