Novel Global Optimization Algorithm with a Space-Filling Curve and Integral Function

In this study, we consider the global optimization problem in a hypercube. We use a class of series to construct a curve in a hypercube, which can fill the hypercube, and we present an integral function on the curve. Based on the integral function, we propose an algorithm for solving the global optimization problem. Then, we perform a convergence analysis and numerical experiments to demonstrate the effectiveness of the proposed algorithm.