Flexible niveloids
Flow problems and duality.
Forecast horizon in dynamic family of one-dimensional control problems [Book]
Formulation mixte d'un problème de jonctions de poutres adaptée à la résolution d'un problème d'optimisation
Formules min-max pour les vitesses d'ondes progressives multidimensionnelles
Forward-backward resolvent splitting methods for general mixed variational inequalities.
Fractional Roesser problem and its optimization
In the paper, a fractional continuous Roesser model is considered. Existence and uniqueness of a solution and continuous dependence of solutions on controls of the nonlinear model are investigated. Next, a theorem on the existence of an optimal solution for linear model with variable coefficients is proved.
Fréchet differentiability of Lipschitz functions via a variational principle
Fréchet differentiability, strict differentiability and subdifferentiability
Free Discontinuity problems with unbounded Data: the two dimensional case.
Frictionless contact problem with adhesion and finite penetration for elastic materials
The paper deals with the problem of quasistatic frictionless contact between an elastic body and a foundation. The elasticity operator is assumed to vanish for zero strain, to be Lipschitz continuous and strictly monotone with respect to the strain as well as Lebesgue measurable on the domain occupied by the body. The contact is modelled by normal compliance in such a way that the penetration is limited and restricted to unilateral contraints. In this problem we take into account adhesion which...
Frictionless contact problem with adhesion for nonlinear elastic materials.
Fritz John's type conditions and associated duality forms in convex non differentiable vector-optimization
From Eckart and Young approximation to Moreau envelopes and vice versa
In matricial analysis, the theorem of Eckart and Young provides a best approximation of an arbitrary matrix by a matrix of rank at most r. In variational analysis or optimization, the Moreau envelopes are appropriate ways of approximating or regularizing the rank function. We prove here that we can go forwards and backwards between the two procedures, thereby showing that they carry essentially the same information.
From scalar to vector optimization
Initially, second-order necessary optimality conditions and sufficient optimality conditions in terms of Hadamard type derivatives for the unconstrained scalar optimization problem , , are given. These conditions work with arbitrary functions , but they show inconsistency with the classical derivatives. This is a base to pose the question whether the formulated optimality conditions remain true when the “inconsistent” Hadamard derivatives are replaced with the “consistent” Dini derivatives. It...
From variational to hemivariational inequalities.
Fully explicit quasiconvexification of the mean-square deviation of the gradient of the state in optimal design.
Functional equations in dynamic programming.
Functionals depending on curvatures with constraints
Functionals with linear growth in the calculus of variations. I.