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Generalized monotonicity in non-smooth analysis. (English) Zbl 0811.49013

Komlósi, Sándor (ed.) et al., Proceedings of the 5th international workshop on generalized convexity held at Janus Pannonius University, Pécs, Hungary, August 31-September 2, 1992. Berlin: Springer-Verlag. Lect. Notes Econ. Math. Syst. 405, 263-275 (1994).
From the author’s abstract: “A well-known theorem of convex analysis states that a lower semicontinuous function is convex if and only if its subdifferential is a monotone map. The concept of monotonicity has recently been generalized for gradient maps and for subdifferential maps.
The aim of the present paper is to extend previous investigations also to (strictly) pseudomonotone bifunctions. For the sake of simplicity we shall consider functions only defined on a convex subset of a Euclidean space \(\mathbb{R}^ n\), however all results remain valid in a Banach space setting, as well”.
For the entire collection see [Zbl 0788.00061].

MSC:

49J52 Nonsmooth analysis
47H05 Monotone operators and generalizations
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