... In this work, various deterministic approaches for constructing efficient and reliable numerical methods for solving the global optimization problems based on the Lipschitz continuity assumption are discussed, as, e.g., divide-the-best scheme for constructing and studying numerical methods in a unified manner, index scheme for treating constraints, local tuning on the functions behaviour and so on. The application of the proposed techniques to studying important practical optimization problems (actually intractable numerically or solved roughly) from different applied areas (as, e.g., from electrical engineering and telecommunications and geological mechanics) is shown.