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MR1307998 (96f:49022) 49J52 (46N10 47H99 58C20)
Aussel, Didier; Corvellec, Jean-Noël; Lassonde, Marc Mean value property and subdifferential criteria for lower semicontinuous functions. Trans. Amer. Math. Soc. 347 (1995), no. 10, 4147–4161.
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