This article is cited in 10 papers

The subdifferential and the directional derivatives of the maximum of a family of convex functions

V. N. Solov'ev

M. V. Lomonosov Moscow State University

Abstract: The paper deals with calculating the directional derivatives and the subdifferential of the maximum of a family of convex functions under weakened compactness conditions on the indexing set (or in the absence of such conditions).

MSC: 49J52, 26B05, 46G05, 26A51

Received: 09.09.1996

DOI: 10.4213/im192

 English version: Izvestiya: Mathematics, 1998, 62:4, 807–832

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