Fixed and periodic points of generalized contractions in metric spaces

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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


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