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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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  <identifier identifierType="DOI">10.5281/zenodo.4967530</identifier>
  <creators>
    <creator>
      <creatorName>Valentin Gregori</creatorName>
      <affiliation>Polytechnic University of Valencia</affiliation>
    </creator>
    <creator>
      <creatorName>Juan José Miñana</creatorName>
      <affiliation>University of the Balearic Islands</affiliation>
    </creator>
    <creator>
      <creatorName>Bernardino Roig</creatorName>
      <affiliation>Polytechnic University of Valencia</affiliation>
    </creator>
    <creator>
      <creatorName>Almanzor Sapena</creatorName>
      <affiliation>Polytechnic University of Valencia</affiliation>
    </creator>
  </creators>
  <titles>
    <title>On Completeness in Metric Spaces and Fixed Point Theorems</title>
  </titles>
  <publisher>Zenodo</publisher>
  <publicationYear>2018</publicationYear>
  <subjects>
    <subject>G-complete metric space</subject>
    <subject>weak G-complete metric space</subject>
  </subjects>
  <dates>
    <date dateType="Issued">2018-10-08</date>
  </dates>
  <resourceType resourceTypeGeneral="JournalArticle"/>
  <alternateIdentifiers>
    <alternateIdentifier alternateIdentifierType="url">https://zenodo.org/record/4967530</alternateIdentifier>
  </alternateIdentifiers>
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    <relatedIdentifier relatedIdentifierType="DOI" relationType="IsVersionOf">10.5281/zenodo.4967529</relatedIdentifier>
  </relatedIdentifiers>
  <rightsList>
    <rights rightsURI="https://creativecommons.org/licenses/by/4.0/legalcode">Creative Commons Attribution 4.0 International</rights>
    <rights rightsURI="info:eu-repo/semantics/openAccess">Open Access</rights>
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  <descriptions>
    <description descriptionType="Abstract">&lt;p&gt;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.&lt;/p&gt;</description>
    <description descriptionType="Other">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).</description>
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  <fundingReferences>
    <fundingReference>
      <funderName>European Commission</funderName>
      <funderIdentifier funderIdentifierType="Crossref Funder ID">10.13039/501100000780</funderIdentifier>
      <awardNumber awardURI="info:eu-repo/grantAgreement/EC/H2020/779776/">779776</awardNumber>
      <awardTitle>Robotics Technology for Inspection of Ships</awardTitle>
    </fundingReference>
  </fundingReferences>
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