T. Kamran, Department of Mathematics, Quaid-i-Azam University, Islamabad,
Abstract. In this paper we extend the concept of $R$-weak commutativity to the setting of single-valued and multivalued mappings. We also establish a coincidence theorem for pairs of $R$-weakly commuting single-valued and multivalued mappings satisfying a contractive type condition.
Keywords. Metric space, multivalued mapping, coincidence point, $R$-weakly commuting map.