Geodesic
On α(·)-monotone multifunctions and differentiability of γ-paraconvex functions
Studia Mathematica, Tome 133 (1999) no. 1, pp. 29-37

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 family of real-valued functions defined on X. Sufficient conditions are given for an α(·)-monotone multifunction $Γ: X → 2^Φ$ to be single-valued and continuous on a weakly angle-small set. As an application it is shown that a γ-paraconvex function defined on an open convex subset of a Banach space having separable dual is Fréchet differentiable on a residual set.
DOI : 10.4064/sm-133-1-29-37
Keywords: Fréchet Φ-differentiability, γ-paraconvex functions, α(·)-monotone multifunctions

S. Rolewicz 1

1 
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S. Rolewicz. On α(·)-monotone multifunctions and differentiability of γ-paraconvex functions. Studia Mathematica, Tome 133 (1999) no. 1, pp. 29-37. doi: 10.4064/sm-133-1-29-37

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