First-Order Characterizations of Generalized Monotone Maps

Siegfried Schaible, Stepan Karamardian, Jean-Pierre Crouzeix · 1992

Recently, various kinds of generalized monotonicity were introduced for maps [3]. In case of gradient maps, different types of generalized monotonicity of the gradient correspond to different types of generalized convexity of the underlying function. This gives rise to first-order characterizations of generalized convex functions involving gradients only, not known so far [2]. These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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