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FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS IN MODULAR B-METRIC SPACES

BAREKENG: Jurnal Ilmu Matematika dan Terapan · Vol. 20 No. 2 (2026) · pp. 0941–0954

DOI
10.30598/barekengvol20iss2pp0941-0954
ISSN
2615-3017, 1978-7227
Published
2026-01-26
Publisher
PATTIMURA UNIVERSITY
Language
eng
License
creativecommons.org/licenses/by-sa/4.0

Abstract

This paper explores multivalued mappings in modular b-metric spaces, with particular emphasis on contraction-type mappings. It introduces the concept of a Hausdorff distance adapted to this setting and investigates fixed point theorems associated with these mappings. The existence of fixed points is established under the assumptions that the space is complete, the considered subset is closed, and the modular -metric satisfies the -condition. These results not only extend classical fixed point theory but also provide a theorem that guarantees the existence of solutions to integral equations, with potential applications in mathematical modeling.

Collaboration network of the authors

16 authors · 40 co-authorship links · 14 across different organisations

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

  • Yogyakarta State University
  • Universitas Nahdlatul Ulama Purwokerto
  • State University of Makassar
  • Universitas Gadjah Mada
  • Affiliation unknown
  • Different organisations
  • Same organisation
  • Affiliation unknown
  • Thicker line = more joint articles · bigger circle = more articles
Show as table
Co-authorOrganisationJoint articles
Ezra Putranda SetiawanYogyakarta State University1
Heru SukocoYogyakarta State University1
Sri AndayaniUniversitas Gadjah Mada1
Namita RetnaniYogyakarta State University1
Bambang Sumarno Hadi MarwotoYogyakarta State University1
Agus Maman AbadiYogyakarta State University1
Akhid Khirohmah MansyarohAffiliation unknown1
Allen Haryanto LukmanaAffiliation unknown1
Aditya Wisnugraha SugiyartoAffiliation unknown1

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://ojs3.unpatti.ac.id/index.php/barekeng/oai, first harvested 5 Nov 2026, last seen 8 Nov 2026.
Original metadata (oai_dc) 
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	<dc:title xml:lang="en-US">FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS IN MODULAR B-METRIC SPACES</dc:title>
	<dc:creator>Hartono, Hartono</dc:creator>
	<dc:creator>Harini, Lusi</dc:creator>
	<dc:creator>Hayati, Afifah</dc:creator>
	<dc:creator>Mas'ud, Syamsudin</dc:creator>
	<dc:creator>Yusri, Thesa Adi Saputra</dc:creator>
	<dc:creator>Karyati, Karyati</dc:creator>
	<dc:creator>Saptaningtyas, Fitriana Yuli</dc:creator>
	<dc:description xml:lang="en-US">This paper explores multivalued mappings in modular b-metric spaces, with particular emphasis on contraction-type mappings. It introduces the concept of a Hausdorff distance adapted to this setting and investigates fixed point theorems associated with these mappings. The existence of fixed points is established under the assumptions that the space is complete, the considered subset is closed, and the modular  -metric satisfies the  -condition. These results not only extend classical fixed point theory but also provide a theorem that guarantees the existence of solutions to integral equations, with potential applications in mathematical modeling.</dc:description>
	<dc:publisher xml:lang="en-US">PATTIMURA UNIVERSITY</dc:publisher>
	<dc:date>2026-01-26</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://ojs3.unpatti.ac.id/index.php/barekeng/article/view/18654</dc:identifier>
	<dc:identifier>10.30598/barekengvol20iss2pp0941-0954</dc:identifier>
	<dc:source xml:lang="en-US">BAREKENG: Jurnal Ilmu Matematika dan Terapan; Vol 20 No 2 (2026): BAREKENG: Journal of Mathematics and Its Application; 0941-0954</dc:source>
	<dc:source>2615-3017</dc:source>
	<dc:source>1978-7227</dc:source>
	<dc:source>10.30598/barekengvol20iss2year2026</dc:source>
	<dc:language>eng</dc:language>
	<dc:relation>https://ojs3.unpatti.ac.id/index.php/barekeng/article/view/18654/12445</dc:relation>
	<dc:rights xml:lang="en-US">Copyright (c) 2026 Hartono Hartono, Lusi Hartono, Afifah Hayati, Syamsudin Mas'ud, Thesa Adi Saputra Yusri, Karyati Karyati, Fitriana Yuli Saptaningsih</dc:rights>
	<dc:rights xml:lang="en-US">http://creativecommons.org/licenses/by-sa/4.0</dc:rights>
</oai_dc:dc>