On the fixed point theory of soft metric spaces

Abbas, Mujahid; Murtaza, Ghulam; Romaguera, Salvador

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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