(Australian Internet Publishing, 2024-06-28) Olana, Musa Adewale; Maharaj, Adhir; Narain, Ojen Kumar
The purpose of this paper is to introduce an iterative algorithm for approximat
ing an element in the solution set of the common split feasibility problem for fixed points of
demimetric mappings and equilibrium problem for monotone mapping in real Hilbert spaces.
Motivated by self-adaptive step size method, we incorporate the inertial technique to acceler
ate the convergence of the proposed method and establish a strong convergence of the sequence
generated by the proposed algorithm. Finally, we present a numerical example to illustrate the
significant performance of our method. Our results extend and improve some existing results in
the literature.
