Elsevier

Advances in Mathematics

Volume 229, Issue 1, 15 January 2012, Pages 668-690
Advances in Mathematics

Fixed points and lines in 2-metric spaces

https://doi.org/10.1016/j.aim.2011.10.002Get rights and content
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Abstract

We consider bounded 2-metric spaces satisfying an additional axiom, and show that a contractive mapping has either a fixed point or a fixed line.

MSC

primary
54H25
secondary
47H10

Keywords

2-metric space
D-metric
Fixed point

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