Arta Ekayanti, Marjono Marjono, Mohamad Muslikh, Sa'adatul Fitri
In this work, we will discuss about the properties of set-valued mapping in partial metric space. By using the pPompeiu-Hausdorff (partial Pompeiu-Hausdorff) metric, we derive the convergence properties of set-valued mapping sequences. The contractivity of a set-valued mapping in a partial metric space is given in this work. Furthermore, we prove establish some fixed-point theorems for set-valued mappings and their sequences. © 2024 American Institute of Physics Inc.. All rights reserved.
Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Jl. Veteran, Malang, 65145, Indonesia; Department of Mathematics Education, Faculty of Teacher Training and Education, Universitas Muhammadiyah Ponorogo, Jl. Budi Utomo, Ponorogo, 63471, Indonesia
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