This deposit contains the PDF version of the article “Contractive Propagation of Perturbations as a Principle of Stability in Iterative Reconstruction and Self-Consistent Maps”. The work develops contractive propagation of perturbations (CPP) as a general principle of stability for iterative numerical processes. Instead of treating convergence as an isolated property of a specific algorithm, the article proposes that stability should be understood through the way perturbations are transmitted, damped, or amplified along the iteration. Within this framework, iterative schemes are analyzed in terms of perturbation dynamics, contraction behavior, and stability regimes. The article connects this perspective to representative computational settings, including iterative reconstruction and self-consistent maps, showing how contractive propagation can serve as a structural criterion for distinguishing stable from unstable update rules. Main mathematical themes:- contractive propagation of perturbations;- iterative stability;- self-consistent maps;- perturbation damping;- numerical reconstruction;- contraction-based analysis.
Francisco Anderson de Sousa Oliveira (Sat,) studied this question.