Convex Analysis: Theory and Applications

By G. Magaril-Il'yaev, V. Tikhomirov. 2003

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Update or wait: How to keep your data fresh (2016, background): “ite dimensional optimization problems [57], Problem (13) is an inﬁnite dimensional functional optimization problem. Therefore, the Karush-Kuhn-Tucker (KKT) theorem for inﬁnite dimensional space [58], [59] and the calculus of variations are required in the analysis. In particular, since the Lagrangia”
On the infimum convolution inequality (2008, background): “For these and other properties of L, see [19].”