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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, Mosco convergence (or simply M-convergence), named for the Italian mathematician Umberto Mosco, is a notion of convergence for functionals that is useful in nonlinear analysis. It is closely related to the notion of -convergence. Mosco convergence is sometimes phrased as weak -liminf and strong -limsup convergence since it uses both the weak and strong topologies on a a topological vector space X.