Some recent developments in deterministic global optimization

During the last four decades there has been a remarkable development in global optimization. Due to its wide variety of applications, many scientists and researchers have paid attention to global optimization. A huge number of new theoretical, algorithmic and computational results have been observed. Global Optimization plays a central role in many sciences including economics, engineering, physics, computer science and so on. However, global optimization problems are quite difficult to solve, as they are usually NP-hard. In this paper, we present a survey of the theory and deterministic methods for global optimization problems.