The Contraction Mapping Theorem is a fundamental result in mathematical analysis that guarantees the existence and uniqueness of fixed points for certain types of functions. Specifically, it applies to functions that bring points closer together, known as contraction mappings. If a function meets the criteria of being a contraction on a complete metric space, then there is exactly one point where the function maps that point to itself. This theorem is widely used in various fields, including computer science, economics, and engineering, to solve equations and optimization problems. It provides a systematic way to find solutions by iteratively applying the contraction mapping until convergence is achieved.