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Journals and Conferences
We prove an Ekeland’s type vector variational principle for monotonically semicontinuous mappings with perturbations given by a convex bounded subset of directions multiplied by the distance… (More)
The problem of finding an optimal insurer’s strategy of purchasing reinsurance is considered under the standard deviation calculation principles. It is assumed that the strategy must satisfy several… (More)
A vector form of a smooth variational principle is proved.
For twice smooth functions, the symmetry of the matrix of second partial derivatives is automatic and can be seen as the symmetry of the Jacobian matrix of the gradient mapping. For nonsmooth… (More)
Sufficient conditions for an equilibrium of maximal monotone operator to be in a given set are provided. This partially answers to a question posed in .
For a boundedly generated drop [a,E] (a property which holds, for instance, whenever E is bounded), where a belongs to a real Banach space X and E ⊂ X is a nonempty convex set, we show that for every… (More)
It is known that the subdifferential of a lower semicontinuous convex function f over a Banach space X determines this function up to an additive constant in the sense that another function of the… (More)