Advances in MathematicsVolume 229, Issue 1, 15 January 2012, Pages 668-690Fixed points and lines in 2-metric spacesAuthor links open overlay panelAbdelkrim Aliouche a, Carlos Simpson bShow moreShareCitehttps://doi.org/10.1016/j.aim.2011.10.002Get rights and contentUnder an Elsevier user licenseopen archiveAbstractWe consider bounded 2-metric spaces satisfying an additional axiom, and show that a contractive mapping has either a fixed point or a fixed line.Previous article in issueNext article in issueMSCprimary54H25secondary47H10Keywords2-metric spaceD-metricFixed pointRecommended articlesCited by (0)Copyright © 2011 Elsevier Inc. All rights reserved.