Banach Contraction Principle for Cyclical Mappings on Partial Metric Spaces
| dc.contributor.author | Mukheimer, A. | |
| dc.contributor.author | Zaidan, Y. | |
| dc.contributor.author | Abdeljawad, T. | |
| dc.contributor.author | Alzabut, J. O. | |
| dc.date.accessioned | 2017-03-10T11:40:26Z | |
| dc.date.accessioned | 2025-09-18T12:48:16Z | |
| dc.date.available | 2017-03-10T11:40:26Z | |
| dc.date.available | 2025-09-18T12:48:16Z | |
| dc.date.issued | 2012 | |
| dc.description | Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138; Mukheimer, Aiman/0000-0001-8798-3297; Abdeljawad, Thabet/0000-0002-8889-3768 | en_US |
| dc.description.abstract | We prove that the Banacah contraction principle proved by Matthews in 1994 on 0-complete partial metric spaces can be extended to cyclical mappings. However, the generalized contraction principle proved by (Ilic et al. in Appl. Math. Lett. 24:1326-1330, 2011) on complete partial metric spaces can not be extended for cyclical mappings. Some examples are given to illustrate our results. Moreover, our results generalize some of the results obtained by (Kirk et al. in Fixed Point Theory 4(1):79-89, 2003). An Edelstein type theorem is also extended when one of the sets in the cyclic decomposition is 0-compact. | en_US |
| dc.identifier.citation | Abdeljawad, T...et al. (2012). Banach contraction principle for cyclical mappings on partial metric spaces. Fixed Point Theory And Applications, 154, 1-7. http://dx.doi.org/10.1186/1687-1812-2012-154 | en_US |
| dc.identifier.doi | 10.1186/1687-1812-2012-154 | |
| dc.identifier.issn | 1687-1812 | |
| dc.identifier.scopus | 2-s2.0-84884408826 | |
| dc.identifier.uri | https://doi.org/10.1186/1687-1812-2012-154 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12035 | |
| 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 | Partial Metric Space | en_US |
| dc.subject | Fixed Point | en_US |
| dc.subject | Cyclic Mapping | en_US |
| dc.subject | Banach Contraction Principle | en_US |
| dc.subject | 0-Compact Set | en_US |
| dc.title | Banach Contraction Principle for Cyclical Mappings on Partial Metric Spaces | en_US |
| dc.title | Banach contraction principle for cyclical mappings on partial metric spaces | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Alzabut, Prof. Dr. Jehad/0000-0002-5262-1138 | |
| gdc.author.id | Mukheimer, Aiman/0000-0001-8798-3297 | |
| gdc.author.id | Abdeljawad, Thabet/0000-0002-8889-3768 | |
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| gdc.author.wosid | Mukheimer, Aiman/T-8352-2018 | |
| gdc.author.wosid | Alzabut, Prof. Dr. Jehad/T-8075-2018 | |
| gdc.author.wosid | Abdeljawad, Thabet/T-8298-2018 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Abdeljawad, T.] Cankaya Univ, Dept Math, TR-06530 Ankara, Turkey; [Alzabut, J. O.; Mukheimer, A.; Zaidan, Y.] Prince Sultan Univ, Dept Math & Phys Sci, Riyadh 11586, Saudi Arabia; [Zaidan, Y.] Univ Wisconsin Fox Valley, Dept Math, Menasha, WI 54952 USA | en_US |
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| gdc.oaire.keywords | Special maps on metric spaces | |
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| gdc.virtual.author | Abdeljawad, Thabet | |
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