2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/106276In two preceding articles, we studied the problem of the existence and uniqueness of a solution to some general BSDE on manifolds. In these two articles, we assumed some Lipschitz conditions on the drift $f(b,x,z)$. The purpose of this article is to extend the existence and uniqueness results under weaker assumptions, in particular a monotonicity condition in the variable $x$. This extends well-known results for Euclidean BSDE.ProbabilityThe monotonicity condition for BSDE on manifoldstext