**Kazeem Olalekan Aremu, Chinedu Izuchukwu, Hammed Anuolwupo Abass and Oluwatosin Temitope Mewomo \***

School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban 4001, South Africa; 218081063@stu.ukzn.ac.za or aremukazeemolalekan@gmail.com (K.O.A.); izuchukwu\_c@yahoo.com or izuchukwuc@ukzn.ac.za (C.I.); 216075727@stu.ukzn.ac.za (H.A.A.) **\*** Correspondence: mewomoo@ukzn.ac.za

Received: 24 October 2020; Accepted: 18 November 2020; Published: 16 December 2020 -

**Abstract:** In this paper, we propose and study an iterative algorithm that comprises of a finite family of inverse strongly monotone mappings and a finite family of Lipschitz demicontractive mappings in an Hadamard space. We establish that the proposed algorithm converges strongly to a common solution of a finite family of variational inequality problems, which is also a common fixed point of the demicontractive mappings. Furthermore, we provide a numerical experiment to demonstrate the applicability of our results. Our results generalize some recent results in literature.

**Keywords:** variational inequalities; inverse strongly monotone mappings; demicontractive mappings; fixed point problems; Hadamard spaces

**MSC:** 47H06; 47H09; 47J05; 47J25
