Continuous and Lipschitz-continuous global optimization: algorithms and applications

This paper reviews the subject of continuous and Lipschitz-continuous global (multiextremal) optimization. The essentials of globally convergent adaptive partition algorithms – basic concepts and main results – are summarized. Implementation aspects and extensions are also discussed. Finally, several case studies are highlighted. The paper is based upon the research monograph by Pintér. For details, the interested reader is referred to that book, and to the extensive list of references.