Lipschitz Condition

The Lipschitz condition is a way to describe how smoothly a function behaves. It states that, within a certain range, the change in the function’s output is limited by a fixed constant times the change in input. In simple terms, it ensures the function doesn't have sharp jumps or sudden surprises; it changes at a controlled rate. This condition is important in mathematics and computer science because it guarantees stability and predictability, making problems like solving equations or optimizing functions more manageable and reliable.