Set-Valued Analysis is a branch of mathematics that focuses on the study of sets of values rather than single values. It examines how these sets can be used to describe solutions to problems, particularly in optimization and control theory. This approach is useful in situations where multiple outcomes or solutions are possible, allowing for a more comprehensive understanding of complex systems. In Set-Valued Analysis, concepts such as convex sets, mappings, and topological spaces are often explored. The analysis helps in characterizing the behavior of systems where uncertainty or variability is present, making it a valuable tool in fields like economics, engineering, and operations research.