Journal article Open Access

# On Completeness in Metric Spaces and Fixed Point Theorems

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

### Dublin Core Export

<?xml version='1.0' encoding='utf-8'?>
<oai_dc:dc xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:oai_dc="http://www.openarchives.org/OAI/2.0/oai_dc/" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.openarchives.org/OAI/2.0/oai_dc/ http://www.openarchives.org/OAI/2.0/oai_dc.xsd">
<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:date>2018-10-08</dc:date>
<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 https://link.springer.com/article/10.1007/s00025-018-0896-4. 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:identifier>https://zenodo.org/record/4967530</dc:identifier>
<dc:identifier>10.5281/zenodo.4967530</dc:identifier>
<dc:identifier>oai:zenodo.org:4967530</dc:identifier>
<dc:relation>info:eu-repo/grantAgreement/EC/H2020/779776/</dc:relation>
<dc:relation>doi:10.5281/zenodo.4967529</dc:relation>
<dc:rights>info:eu-repo/semantics/openAccess</dc:rights>
<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>
<dc:type>info:eu-repo/semantics/article</dc:type>
<dc:type>publication-article</dc:type>
</oai_dc:dc>

22
17
views