Common solution of split null point, split variational inequality and fixed point problems for a nonexpansive semigroup

The primary goal of this paper is to find a common solution of a split null point problem, split variational inequality problem and fixed point problem for a nonex-pansive semigroup with the help of new type of iterative algorithm. We construct that the sequences induced by the proposed iterative method to solve the above stated problems in the setting of real Hilbert spaces and obtain a strong convergence theorem. We also deduce certain consequences from the main convergence result. At the end, a numerical experiment is shown to demonstrate the convergence analysis of proposed iterative method. The methodology and conclusion described in this work extend und unify previously published findings in this field.