The main objective of this Thesis is to introduce and study the Split Equality Inclusion Problem in the framework of real Hilbert spaces. In order to solve this problem, we propose an inertial method for approximating a solution of the problem. Using the method, we prove a strong convergence theorem to a solution of the problem. In addition, we provide some applications of our method and present numerical results to demonstrate the applicability and efficiency of the proposed method. The result obtained in this Thesis generalizes and improves several results in the Literature in this direction.

Thesis (MSc of Mathematics and Statistics sciences)---Botswana International University of Science and Technology, 2023