This research focuses on approximating a common solution of split variational inequality and fixed point problems involving a \((\eta ,0)-\) demigeneralized operator in a real 2-uniformly convex and uniformly smooth Banach space. An inertial Tseng’s method and Halpern-type iterative algorithm was developed and was shown to converge strongly to the common solution of variational inequality and fixed point of \((\eta ,0)-\) demigeneralized operators on each split. Numerical experiments were carried out to show the ease and efficient workability of the iterative algorithm. The convergence theorem obtained extends, generalizes, and complements several existing results in this area of research.
