This brief explores the Krasnosel'skii-Man (KM) iterative method, which has been extensively employed to find fixed points of nonlinear methods.
1. Introduction.-
2. Notation and Mathematical Foundations.-3. The Krasnoselskii-Mann Iteration.-
4. Relations of the Krasnosel'skii-Mann Iteration and the Operator Splitting Methods.-
5. The Inertial Krasnoselskii-Mann Iteration.-
6. The Multi-step Inertial Krasnoselskii-Mann Iteration.-
7. Relaxation Parameters of the Krasnoselskii-Mann Iteration.-
8. Two Applications.