In this paper, we propose a new single-factor filled function only where this new filled function is not only easily decomposable but also uniformly approximated by a continuously differentiable function. Therefore, a thumbnail of the proposed filled function can be obtained simply by using the local optimization algorithm. Then, the obtained minimizer is taken as a prime number to reduce the objective function, and by repeating this process, a better miniature is found. And we will finally have a global minimizer. Through the numerical results of the proposed new filled function, it becomes clear to us the effectiveness of this method

Keywords : Global Optimization; Filled Function Method; Global Minimize; Local Minimizer; Strict Local Maximizer; Smoothing Technique.