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Fixed Point Theorem on Contractive Mapping in Standard 2-Normed Spaces

Teorema Titik Tetap pada Pemetaan Kontraktif di Ruang bernorma-2 Standar

Jurnal Matematika, Statistika dan Komputasi · Vol. 18 No. 1 (2021) · pp. 93–101

DOI
10.20956/j.v18i1.14394
ISSN
2614-8811, 1858-1382
Published
2021-09-02
Publisher
Department of Mathematics, Hasanuddin University
Language
en
License
creativecommons.org/licenses/by/4.0

Abstract

English

This paper discussed about the proof of the fixed point theorem on the standard 2-normed spaces by using completeness. The completeness of the standard 2-normed spaces is shown by defining a new norm. Two linear independent vectors on standard 2-normed spaces are used to define the new norm, namely which has been shown to be equivalent to standard norm.

Indonesian

Pada tulisan ini dibahas pembuktian teorema titik tetap pada ruang bernorma-2 standar dengan menggunakan kelengkapan. Kelengkapan dari ruang bernorma-2 standar ditunjukkan dengan mendefinisikan norma baru. Dua buah vektor bebas linier pada ruang bernorma-2 standar digunakan untuk mendefinisikan norma baru, yakni yang telah ditunjukkan ekuivalen dengan norma standar. Kata kunci: ruang bernorma-2 standar, kelengkapan, teorema titik tetap.

Keywords

Collaboration network of the authors

19 authors · 34 co-authorship links · 2 across different organisations

Hover or tap a name to highlight its co-authors. Double-click to open the author's page.

  • Hasanuddin University
  • Universitas Halu Oleo
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Jusmawati MassalesseHasanuddin University5
Meriam MeriamAffiliation unknown2
Hasmawati HasmawatiHasanuddin University2
Faisal FaisalUniversitas Halu Oleo1
Islamiyah AbbasAffiliation unknown1
Budi NurwahyuHasanuddin University1
Afif Budi Andy BHasanuddin University1
Aswad Hariri MangalaengHasanuddin University1
Jeffry KusumaHasanuddin University1
Muhammad Nur HidayatHasanuddin University1
Indi Ria Al KadryHasanuddin University1
Haspika HaspikaHasanuddin University1
Ananda Dwi Nabila NandaHasanuddin University1
Dermawan SaputraHasanuddin University1
Hasmawati BasirHasanuddin University1
Saskia Nurul JannahHasanuddin University1

Affiliations come from OpenAlex; journal OAI-PMH metadata carries none. Authors without an OpenAlex ID are matched by name, which can merge or split people.

Metadata source: OAI-PMH (metadata jurnal) https://journal.unhas.ac.id/index.php/jmsk/oai, first harvested 5 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en">Fixed Point Theorem on Contractive Mapping in Standard 2-Normed Spaces</dc:title>
	<dc:title xml:lang="id">Teorema Titik Tetap pada Pemetaan Kontraktif di Ruang bernorma-2 Standar</dc:title>
	<dc:creator xml:lang="en">Ammari, Salsabila</dc:creator>
	<dc:creator xml:lang="en">Nur, Muh</dc:creator>
	<dc:creator xml:lang="en">Aris, Naimah</dc:creator>
	<dc:subject xml:lang="en">mathematic</dc:subject>
	<dc:subject xml:lang="en">functional analysis</dc:subject>
	<dc:subject xml:lang="en">fixed point theorem</dc:subject>
	<dc:subject xml:lang="en">2-normed spaces</dc:subject>
	<dc:description xml:lang="en">This paper discussed about the proof of the fixed point theorem on the standard 2-normed spaces by using completeness. The completeness of the standard 2-normed spaces is shown by defining a new norm. Two linear independent vectors on standard 2-normed spaces are used to define the new norm, namely  which has been shown to be equivalent to standard norm.</dc:description>
	<dc:description xml:lang="id">Pada tulisan ini dibahas pembuktian teorema titik tetap pada ruang bernorma-2 standar dengan menggunakan kelengkapan. Kelengkapan dari ruang bernorma-2 standar ditunjukkan dengan mendefinisikan norma baru. Dua buah vektor bebas linier pada ruang bernorma-2 standar digunakan untuk mendefinisikan norma baru, yakni &amp;nbsp;yang telah ditunjukkan ekuivalen dengan norma standar.
Kata kunci: ruang bernorma-2 standar, kelengkapan, teorema titik tetap.</dc:description>
	<dc:publisher xml:lang="en">Department of Mathematics, Hasanuddin University</dc:publisher>
	<dc:date>2021-09-02</dc:date>
	<dc:type>info:eu-repo/semantics/article</dc:type>
	<dc:type>info:eu-repo/semantics/publishedVersion</dc:type>
	<dc:format>application/pdf</dc:format>
	<dc:identifier>https://journal.unhas.ac.id/index.php/jmsk/article/view/14394</dc:identifier>
	<dc:identifier>10.20956/j.v18i1.14394</dc:identifier>
	<dc:source xml:lang="en">Jurnal Matematika, Statistika dan Komputasi; Vol. 18 No. 1 (2021): September 2021; 93-101</dc:source>
	<dc:source>2614-8811</dc:source>
	<dc:source>1858-1382</dc:source>
	<dc:language>en</dc:language>
	<dc:relation>https://journal.unhas.ac.id/index.php/jmsk/article/view/14394/7308</dc:relation>
	<dc:relation>10.20956/j.v18i1.14394.g7308</dc:relation>
	<dc:rights xml:lang="en">Copyright (c) 2021 Author and publisher</dc:rights>
	<dc:rights xml:lang="en">https://creativecommons.org/licenses/by/4.0</dc:rights>
</oai_dc:dc>