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Some fixed point results in ultrametric spaces
Journal article   Open access  Peer reviewed

Some fixed point results in ultrametric spaces

W.A. Kirk and N. Shahzad
Topology and its applications, Vol.159(15), pp.3327-3334
15/09/2012
DOI: https://doi.org/10.1016/j.topol.2012.07.016

Abstract

Fixed points Hyperconvex spaces Nonexpansive mappings Ultrametric spaces
Geometrically, ultrametric spaces and hyperconvex metric spaces are sharply distinct. However spherically complete ultrametric space and hyperconvex metric space share striking similarities. Several of these similarities are discussed here. We also give more constructive proofs of some known fixed point theorems and strengthen the conclusions.
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https://doi.org/10.1016/j.topol.2012.07.016View
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