2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/146865In this paper we study a generalized symplectic fixed point problem, first considered by J. Moser in \cite{M}, from the point of view of some relatively recently discovered symplectic rigidity phenomena. This problem has interesting applications concerning global perturbations of Hamiltonian systems.20 pagesSymplectic GeometryDynamical Systems53D35; 53D40; 57R70; 37J40Symplectic rigidity, symplectic fixed points and global perturbations of Hamiltonian systemstext