A Nonasymptotic Theory of Seminorm Lyapunov Stability: From Deterministic to Stochastic Iterative Algorithms
We study the problem of solving fixed-point equations for seminorm-contractive operators and establish foundational results on the nonasymptotic behavior of iterative algorithms in both deterministic and stochastic settings. In the deterministic setting, we present a fixed-point theorem for seminorm-contractive operato...