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On Completeness in Metric Spaces and Fixed Point Theorems

Valentin Gregori; Juan José Miñana; Bernardino Roig; Almanzor Sapena

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<oai_dc:dc xmlns:dc="" xmlns:oai_dc="" xmlns:xsi="" xsi:schemaLocation="">
  <dc:creator>Valentin Gregori</dc:creator>
  <dc:creator>Juan José Miñana</dc:creator>
  <dc:creator>Bernardino Roig</dc:creator>
  <dc:creator>Almanzor Sapena</dc:creator>
  <dc:description>Complete ultrametric spaces constitute a particular class of the so called, recently, G-complete metric spaces. In this paper we characterize a more general class called weak G-complete metric spaces, by means of nested sequences of closed sets. Then, we also state a general fixed point theorem for a self-mapping of a weak G-complete metric space. As a corollary, every asymptotically regular self-mapping of a weak G-Complete metric space has a fixed point.</dc:description>
  <dc:description>This is a preprint of the publication available from This work is also supported by project PGC2018-095709-B-C21 (MCIU/AEI/FEDER, UE), and PROCOE/4/2017 (Govern Balear, 50% P.O. FEDER 2014-2020 Illes Balears).</dc:description>
  <dc:source>Results in Mathematics 73 142</dc:source>
  <dc:subject>G-complete metric space</dc:subject>
  <dc:subject>weak G-complete metric space</dc:subject>
  <dc:title>On Completeness in Metric Spaces and Fixed Point Theorems</dc:title>
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