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

BAREKENG JURNAL ILMU MATEMATIKA DAN TERAPAN 2026 Open access

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Authors: Hartono Hartono, Lusi Harini, Afifah Hayati, Syamsudin Mas'ud, Thesa Adi Saputra Yusri, K Karyati, Fitriana Yuli Saptaningtyas
DOI: 10.30598/barekengvol20iss2pp0941-0954
Cited by: 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.

Fields of Study & Subjects

Fixed Point Theorems Analysis Functional Equations Stability Results Approximation Theory and Sequence Spaces

Publication details

Journal / source
BAREKENG JURNAL ILMU MATEMATIKA DAN TERAPAN
Volume
20
Issue
2
Pages
0941–0954
Publication date
26 January 2026