Coincidence points and $R$-weakly commuting maps

Naseer Shahzad and Tayyab Kamran

Address. N. Shahzad, Department of Mathematics, King Abdul Aziz University, P.O.Box 80203, Jeddah 21589, SAUDI ARABIA

T. Kamran, Department of Mathematics, Quaid-i-Azam University, Islamabad, PAKISTAN

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.

AMSclassification. 54H25

Keywords. Metric space, multivalued mapping, coincidence point, $R$-weakly commuting map.