dc.contributor.author | Shahzad, Naseer | |
dc.contributor.author | Valero, Oscar | |
dc.date.accessioned | 2024-07-04T12:54:55Z | |
dc.date.available | 2024-07-04T12:54:55Z | |
dc.date.issued | 2015-02-14 | |
dc.identifier.citation | Shahzad N, Valero O. A Nemytskii-Edelstein type fixed point theorem for partial metric spaces. Fixed Point Theory Appl. 2015 Feb 14;:26. | en |
dc.identifier.issn | 1687-1812 | |
dc.identifier.other | http://hdl.handle.net/20.500.13003/10939 | |
dc.identifier.uri | http://hdl.handle.net/20.500.12105/20102 | |
dc.description.abstract | In 1994, Matthews obtained an extension of the celebrated Banach fixed point theorem to the partial metric framework (Ann. N.Y. Acad. Sci. 728:183-197, 1994). Motivated by the Matthews extension of the Banach theorem, we present a Nemytskii-Edelstein type fixed point theorem for self-mappings in partial metric spaces in such a way that the classical one can be retrieved as a particular case of our new result. We give examples which show that the assumed hypothesis in our new result cannot be weakened. Moreover, we show that our new fixed point theorem allows one to find fixed points of mappings in some cases in which the Matthews result and the classical Nemytskii-Edelstein one cannot be applied. Furthermore, we provide a negative answer to the question about whether our new result can be retrieved as a particular case of the classical Nemytskii-Edelstein one whenever the metrization technique, developed by Hitzler and Seda (Mathematical Aspects of Logic Programming Semantics, 2011), is applied to partial metric spaces. | en |
dc.description.sponsorship | This project was supported by the NSTIP strategic technologies program in the Kingdom of Saudi Arabia - Project No. (12-MAT051-03). The authors also acknowledge with thanks Science and Technology Unit, King Abdulaziz University for technical support. The authors would like to thank the reviewers for their valuable suggestions. | es_ES |
dc.language.iso | eng | en |
dc.publisher | Springer | en |
dc.rights.uri | http://creativecommons.org/licenses/by/4.0/ | * |
dc.title | A Nemytskii-Edelstein type fixed point theorem for partial metric spaces | en |
dc.type | research article | en |
dc.rights.license | Attribution 4.0 International | * |
dc.format.page | 26 | es_ES |
dc.identifier.doi | 10.1186/s13663-015-0266-9 | |
dc.relation.publisherversion | https://dx.doi.org/10.1186/s13663-015-0266-9 | en |
dc.identifier.journal | Fixed Point Theory and Applications | es_ES |
dc.rights.accessRights | open access | en |
dc.identifier.scopus | 2-s2.0-84922777556 | |
dc.identifier.wos | 349758800001 | |