Abstract:
In this paper, we introduce an inertial-type algorithm for approximating a common
solution of split generalized mixed vector equilibrium and fixed point problems. In
the framework of real Hilbert spaces, we state and prove a strong convergence
theorem for obtaining a common solution of split generalized mixed vector equilibrium problem and fixed point of a finite family of nonexpansive mappings.
Furthermore, we give some consequences of our main result and also report some
numerical illustrations to display the performance of our method. The result
obtained in this paper unifies and generalizes other corresponding results in the
literature
