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On α(·)-monotone multifunctions and differentiability of γ-paraconvex functions

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Rolewicz S.

Studia Mathematica

1999

tom 133

nr 1

29-37

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.

Ograniczanie wyników

1 Studia Mathematica

1 Rolewicz S.

1 1999

Wyniki wyszukiwania

On α(·)-monotone multifunctions and differentiability of γ-paraconvex functions