Arta Ekayanti, Marjono, Mohamad Muslikh, Sa’adatul Fitri
In this paper, we introduce a relation between sets that defines a partial order. Based on this relation, we construct a partially ordered p-Pompeiu-Hausdorff metric space. By using this partial order on CBp (X), we establish the existence of fixed points for set-valued mappings in partially ordered p-Pompeiu-Hausdorff metric spaces. Furthermore, the existence of common fixed points for such mappings is demonstrated through the use of a generalized contraction condition. © 2026 Pushpa Publishing House, Prayagraj, India.
Department of Mathematics, University of Brawijaya, Malang, 65145, Indonesia; Department of Mathematics Education, Muhammadiyah University of Ponorogo, Ponorogo, 63471, Indonesia
