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

  • Hartono Hartono Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Yogyakarta, Indonesia https://orcid.org/0000-0002-0580-5671
  • Lusi Harini Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Yogyakarta, Indonesia https://orcid.org/0000-0001-6953-2388
  • Afifah Hayati Department of Mathematics, Faculty of Science and Technology, Universitas Nahdlatul Ulama Purwokerto, Indonesia https://orcid.org/0009-0006-5304-6514
  • Syamsudin Mas'ud Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Negeri Makassar, Indonesia https://orcid.org/0009-0000-2516-8107
  • Thesa Adi Saputra Yusri Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Yogyakarta, Indonesia https://orcid.org/0000-0002-4844-2620
  • Karyati Karyati Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Yogyakarta, Indonesia https://orcid.org/0009-0003-2765-5664
  • Fitriana Yuli Saptaningtyas Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Negeri Yogyakarta, Indonesia https://orcid.org/0000-0003-1737-6250
DOI: https://doi.org/10.30598/barekengvol20iss2pp0941–0954
Keywords: Contraction mapping, Fixed point, Hausdorff distance, Modular b-metric, Multivalued mapping

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.

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Published
2026-01-26
How to Cite
[1]
H. Hartono, “FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS IN MODULAR B-METRIC SPACES”, BAREKENG: J. Math. & App., vol. 20, no. 2, pp. 0941–0954, Jan. 2026.
Issue
Vol 20 No 2 (2026): BAREKENG: Journal of Mathematics and Its Application
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Articles

Copyright (c) 2026 Hartono Hartono, Lusi Hartono, Afifah Hayati, Syamsudin Mas'ud, Thesa Adi Saputra Yusri, Karyati Karyati, Fitriana Yuli Saptaningsih

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