Geodesic
On cyclic α(·)-monotone multifunctions
Studia Mathematica, Tome 141 (2000) no. 3, pp. 263-272

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

Let (X,d) be a metric space. Let Φ be a linear family of real-valued functions defined on X. Let $Γ: X → 2^{Φ}$ be a maximal cyclic α(·)-monotone multifunction with non-empty values. We give a sufficient condition on α(·) and Φ for the following generalization of the Rockafellar theorem to hold. There is a function f on X, weakly Φ-convex with modulus α(·), such that Γ is the weak Φ-subdifferential of f with modulus α(·), $Γ(x)=∂^{-α}_{Φ}f|_{x}$.
DOI : 10.4064/sm-141-3-263-272
Keywords: Fréchet Φ-differentiability, cyclic α(·)-monotone multi- function

S. Rolewicz 1

1 
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S. Rolewicz. On cyclic α(·)-monotone multifunctions. Studia Mathematica, Tome 141 (2000) no. 3, pp. 263-272. doi: 10.4064/sm-141-3-263-272

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