On the fixed point theory of soft metric spaces
| dc.contributor.author | Abbas, Mujahid | |
| dc.contributor.author | Murtaza, Ghulam | |
| dc.contributor.author | Romaguera, Salvador | |
| dc.date.accessioned | 2016-06-10T06:08:36Z | |
| dc.date.available | 2016-06-10T06:08:36Z | |
| dc.date.issued | 2016-01-28 | |
| dc.description.abstract | The aim of this paper is to show that a soft metric induces a compatible metric on the collection of all soft points of the absolute soft set, when the set of parameters is a finite set. We then show that soft metric extensions of several important fixed point theorems for metric spaces can be directly deduced from comparable existing results. We also present some examples to validate and illustrate our approach. | en_ZA |
| dc.description.department | Mathematics and Applied Mathematics | en_ZA |
| dc.description.librarian | am2016 | en_ZA |
| dc.description.sponsorship | Salvador Romaguera thanks the support of Ministry of Economy and Competitiveness of Spain, Grant MTM2012-37894-C02-01. | en_ZA |
| dc.description.uri | http://link.springer.com/journal/11784 | en_ZA |
| dc.identifier.citation | Abbas, M, Murtaza, G & Romaguera, S 2016, 'On the fixed point theory of soft metric spaces', Fixed Point Theory and Applications, vol. 1, art. #17, pp. 1-11. | en_ZA |
| dc.identifier.issn | 1687-1820 (print) | |
| dc.identifier.issn | 1687-1812 (online) | |
| dc.identifier.other | 10.1186/s13663-016-0502-y | |
| dc.identifier.uri | http://hdl.handle.net/2263/53022 | |
| dc.language.iso | en | en_ZA |
| dc.publisher | SpringerOpen | en_ZA |
| dc.rights | © 2016 Abbas et al. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License. | en_ZA |
| dc.subject | Soft mapping | en_ZA |
| dc.subject | Soft metric space | en_ZA |
| dc.subject | Soft contraction | en_ZA |
| dc.subject | Soft Caristi mapping | en_ZA |
| dc.title | On the fixed point theory of soft metric spaces | en_ZA |
| dc.type | Article | en_ZA |