On α(·)-monotone multifunctions and differentiability of γ-paraconvex functions
Rolewicz, S.
Studia Mathematica, Tome 133 (1999), p. 29-37 / Harvested from The Polish Digital Mathematics Library
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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→2Φ 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.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:216603 
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Rolewicz, S. On α(·)-monotone multifunctions and differentiability of γ-paraconvex functions. Studia Mathematica, Tome 133 (1999) pp. 29-37. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-smv133i1p29bwm/

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