A New Iterative Algorithm for General Variational Inequality Problem with Applications

This study aims at investigation of a generalized variational inequality problem. We initiate new iterative algorithm and examine its convergence analysis. Using this newly proposed method, we estimate the common solution problem fixed points nonexpansive mapping. A numerical example is illustrated to verify our existence result. Further, demonstrate that considered converges with faster rate than normal S -iterative scheme. Furthermore, apply convex minimization split feasibility