Some Results on Best Proximity Points of Cyclic Contractions in Probabilistic Metric Spaces
| dc.authorid | de la Sen, manuel/0000-0001-9320-9433 | |
| dc.authorid | KARAPINAR, ERDAL/0000-0002-6798-3254 | |
| dc.authorscopusid | 7102275804 | |
| dc.authorscopusid | 16678995500 | |
| dc.authorwosid | de la Sen, manuel/A-8803-2008 | |
| dc.authorwosid | KARAPINAR, ERDAL/H-3177-2011 | |
| dc.contributor.author | De la Sen, Manuel | |
| dc.contributor.author | Karapinar, Erdal | |
| dc.contributor.other | Mathematics | |
| dc.date.accessioned | 2024-07-05T14:32:11Z | |
| dc.date.available | 2024-07-05T14:32:11Z | |
| dc.date.issued | 2015 | |
| dc.department | Atılım University | en_US |
| dc.department-temp | [De la Sen, Manuel] Univ Basque Country, Fac Sci & Technol, Inst Res & Dev Proc IIDP, Leioa 48940, Bizkaia, Spain; [Karapinar, Erdal] ATILIM Univ, Dept Math, TR-06836 Ankara, Turkey; [Karapinar, Erdal] King Abdulaziz Univ, Nonlinear Anal & Appl Math Res Grp NAAM, Jeddah 21589, Saudi Arabia | en_US |
| dc.description | de la Sen, manuel/0000-0001-9320-9433; KARAPINAR, ERDAL/0000-0002-6798-3254 | en_US |
| dc.description.abstract | This paper investigates properties of convergence of distances of p-cyclic contractions on the union of the p subsets of an abstract set X defining probabilistic metric spaces and Menger probabilistic metric spaces as well as the characterization of Cauchy sequences which converge to the best proximity points. The existence and uniqueness of fixed points and best proximity points of p-cyclic contractions defined in induced complete Menger spaces are also discussed in the case when the associate complete metric space is a uniformly convex Banach space. On the other hand, the existence and the uniqueness of fixed points of the p-composite mappings restricted to each of the p subsets in the cyclic disposal are also investigated and some illustrative examples are given. | en_US |
| dc.description.sponsorship | Spanish Government [DPI2012-30651]; Basque Government [IT378-10]; SAIOTEK [S-PE12UN015]; University of Basque Country [UFI 2011/07] | en_US |
| dc.description.sponsorship | The authors are grateful to the Spanish Government for its support of this research with Grant DPI2012-30651 and to the Basque Government for its support of this research through Grants IT378-10 and SAIOTEK S-PE12UN015. They are also grateful to the University of Basque Country for its financial support through Grant UFI 2011/07. Finally, the authors thank the referees for their useful comments. | en_US |
| dc.identifier.citationcount | 16 | |
| dc.identifier.doi | 10.1155/2015/470574 | |
| dc.identifier.issn | 2314-8896 | |
| dc.identifier.issn | 2314-8888 | |
| dc.identifier.scopus | 2-s2.0-84930680112 | |
| dc.identifier.scopusquality | Q1 | |
| dc.identifier.uri | https://doi.org/10.1155/2015/470574 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14411/758 | |
| dc.identifier.volume | 2015 | en_US |
| dc.identifier.wos | WOS:000355459300001 | |
| dc.identifier.wosquality | Q1 | |
| dc.institutionauthor | Karapınar, Erdal | |
| dc.language.iso | en | en_US |
| dc.publisher | Hindawi Ltd | en_US |
| dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.scopus.citedbyCount | 19 | |
| dc.subject | [No Keyword Available] | en_US |
| dc.title | Some Results on Best Proximity Points of Cyclic Contractions in Probabilistic Metric Spaces | en_US |
| dc.type | Article | en_US |
| dc.wos.citedbyCount | 16 | |
| dspace.entity.type | Publication | |
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