Arta Ekayanti, Marjono Marjono, Mohamad Muslikh, Sa'adatul Fitri
In this paper we establish the existence of a common fixed point from a pair of set-valued mappings. By utilizing the concept of convergence of set-valued mappings’ sequences, both ordinary and pointwise convergence, we establish a common fixed point theorem. This our newly result is a generalization of common fixed point theorem of set-valued mappings on partial metric spaces. Further, we establish newly common fixed point theorem under ϕ-contraction on partial metric spaces. © 2024 EJPAM All rights reserved.
Department of Mathematics, Faculty of Mathematics and Natural Sciences, University of Brawijaya, Veteran Road, Malang, 65145, Indonesia; Department of Mathematics Educations, Faculty of Teacher Training and Education, Universitas Muhammadiyah Ponorogo, East Java, Ponorogo, 63471, Indonesia