Fixed and periodic points of generalized contractions in metric spaces
| dc.contributor.author | Abbas, Mujahid | |
| dc.contributor.author | Ali, Basit | |
| dc.contributor.author | Romaguera, Salvador | |
| dc.date.accessioned | 2014-04-03T11:38:59Z | |
| dc.date.available | 2014-04-03T11:38:59Z | |
| dc.date.issued | 2013-11-07 | |
| dc.description.abstract | Wardowski (Fixed Point Theory Appl. 2012:94, 2012, doi:10.1186/1687-1812-2012-94) introduced a new type of contraction called F-contraction and proved a fixed point result in complete metric spaces, which in turn generalizes the Banach contraction principle. The aim of this paper is to introduce F-contractions with respect to a self-mapping on a metric space and to obtain common fixed point results. Examples are provided to support results and concepts presented herein. As an application of our results, periodic point results for the F-contractions in metric spaces are proved. | en_US |
| dc.description.librarian | am2014 | en_US |
| dc.description.uri | http://www.fixedpointtheoryandapplications.com/content/2013/1/243 | en_US |
| dc.identifier.citation | Abbas, M, Ali, B & Romaguera, S 2013, 'Fixed and periodic points of generalized contractions in metric spaces', Fixed Point Theory and Applications, vol. 2013, art. 243, pp. 1-11. | en_US |
| dc.identifier.issn | 1687-1820 (print) | |
| dc.identifier.issn | 1687-1812 (online) | |
| dc.identifier.other | 10.1186/1687-1812-2013-243 | |
| dc.identifier.uri | http://hdl.handle.net/2263/39597 | |
| dc.language.iso | en | en_US |
| dc.publisher | SpringerOpen | en_US |
| dc.relation.ispartofseries | ' | en_US |
| dc.rights | © 2013 Abbas et al.; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License | en_US |
| dc.subject | F-contraction | en_US |
| dc.subject | Property P | en_US |
| dc.subject | Property Q | en_US |
| dc.subject | Common fixed point | en_US |
| dc.title | Fixed and periodic points of generalized contractions in metric spaces | en_US |
| dc.type | Article | en_US |