Fixed-Point Iteration is a numerical method used to find solutions to equations of the form x = g(x) . In this method, an initial guess is made, and then the function g is repeatedly applied to this guess. Each iteration produces a new approximation, which ideally converges to a fixed point, or the solution of the equation. The process continues until the difference between successive approximations is smaller than a predetermined tolerance level. This technique is simple and can be effective, but it requires that the function g be chosen carefully to ensure convergence to the desired solution.