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Mas'ud, Syamsudin
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Computer Science & IT Control & Systems Engineering Economics, Econometrics & Finance Energy Engineering Mathematics Mechanical Engineering Physics Transportation

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FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS IN MODULAR B-METRIC SPACES Hartono, Hartono; Harini, Lusi; Hayati, Afifah; Mas'ud, Syamsudin; Yusri, Thesa Adi Saputra; Karyati, Karyati; Saptaningtyas, Fitriana Yuli
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 20 No 2 (2026): BAREKENG: Journal of Mathematics and Its Application
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/barekengvol20iss2pp0941-0954

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.
Co-Authors Afifah Hayati Fitriana Yuli Saptaningtyas Harini, Lusi Hartono Hartono Karyati Karyati Yusri, Thesa Adi Saputra