Iterative algorithm for a common solution of equilibrium and fixed point problems for a finite family of multivalued enriched nonexpansive mappings in Hadamard spaces
Optimization Eruditorum, Volume 2, Issue 3, December 2025, Pages 213–237
MA’ARUF SHEHU MINJIBIR
Department of Mathematics, Bayero University Kano, Gwarzo Road, P.M.B. 3011, Kano, Nigeria
JAMILU ADAMU MUSA
Department of Mathematics, Bayero University Kano, Gwarzo Road, P.M.B. 3011, Kano, Nigeria
Department of Mathematics, Federal University Wukari, 200 Katsina-Ala Road, P.M.B. 1020, Taraba, Nigeria
SANI SALISU
Department of Mathematics, Sule Lamido University, Km 2 Jahun-Kano Road, Kafin Hausa, P.M.B. 048, Jigawa, Nigeria
Abstract
In this paper, the problem of approximating an equilibrium point that is simultaneously a fixed point of a finite family of multivalued enriched nonexpansive mappings in Hadamard space is addressed. A new Halpern extragradient-type algorithm is proposed, and the sequence it generates is proved to converge strongly to the desired common solution. With the aid of an illustrative example presented in a non-Hilbert CAT(0) space, the implementation and performance of the proposed method are demonstrated in a setting beyond Hilbert spaces. The results obtained here refine and extend recent contributions in the literature.
Cite this Article as
Ma’aruf Shehu Minjibir, Jamilu Adamu Musa, and Sani Salisu, Iterative algorithm for a common solution of equilibrium and fixed point problems for a finite family of multivalued enriched nonexpansive mappings in Hadamard spaces, Optimization Eruditorum, 2(3), 213–237, 2025