An implicit hierarchical fixed-point approach to general variational inequalities in Hilbert spaces.
An implicit iterative scheme for an infinite countable family of asymptotically nonexpansive mappings in Banach spaces.
An implicit-function theorem for a class of monotone generalized equations
An impulsive control problem with state constraint
An index formula for the degree of (S)-mappings associated with one-dimensional -Laplacian.
An inexact proximal-type method for the generalized variational inequality in Banach spaces.
An iterative algorithm for generalized nonlinear variational inclusions with relaxed strongly accretive mappings in Banach spaces.
An iterative algorithm for mixed equilibrium problems and variational inclusions approach to variational inequalities.
An iterative method for generalized equilibrium problems, fixed point problems and variational inequality problems.
An iterative method for nonconvex equilibrium problems.
An iterative scheme with a countable family of nonexpansive mappings for variational inequality problems in Hilbert spaces.
An L2-Error Estimate for an Approximation of the Solution of a Parabolic Variational Inequality.
An optimal control problem for a fourth-order variational inequality
An optimal control problem is considered where the state of the system is described by a variational inequality for the operator w → εΔ²w - φ(‖∇w‖²)Δw. A set of nonnegative functions φ is used as a control region. The problem is shown to have a solution for every fixed ε > 0. Moreover, the solvability of the limit optimal control problem corresponding to ε = 0 is proved. A compactness property of the solutions of the optimal control problems for ε > 0 and their relation with the limit problem...
An optimal control problem for a pseudoparabolic variational inequality
We deal with an optimal control problem governed by a pseudoparabolic variational inequality with controls in coefficients and in convex sets of admissible states. The existence theorem for an optimal control parameter will be proved. We apply the theory to the original design problem for a deffection of a viscoelastic plate with an obstacle, where the variable thickness of the plate appears as a control variable.
An optimal control problem for an elliptic variational inequality
An optimal shape design problem for a hyperbolic hemivariational inequality
In this paper we consider hemivariational inequalities of hyperbolic type. The existence result for hemivariational inequality is given and the existence theorem for the optimal shape design problem is shown.
Analyse limite d'équations variationnelles dans un domaine contenant une grille
Analysis and Numerical Approximation of an Electro-elastic Frictional Contact Problem
We consider the problem of frictional contact between an piezoelectric body and a conductive foundation. The electro-elastic constitutive law is assumed to be nonlinear and the contact is modelled with the Signorini condition, nonlocal Coulomb friction law and a regularized electrical conductivity condition. The existence of a unique weak solution of the model is established. The finite elements approximation for the problem is presented, and error...
Analysis of a contact adhesive problem with normal compliance and nonlocal friction
The paper deals with the problem of a quasistatic frictional contact between a nonlinear elastic body and a deformable foundation. The contact is modelled by a normal compliance condition in such a way that the penetration is restricted with a unilateral constraint and associated to the nonlocal friction law with adhesion. The evolution of the bonding field is described by a first-order differential equation. We establish a variational formulation of the mechanical problem and prove an existence...
Analysis of a discrete model for the contact problem between a membrane and an elastic obstacle
In questo lavoro viene risolto il problema del contatto tra una membrana ed un suolo od ostacolo elastico con una approssimazione lineare a tratti della soluzione. Sono date alcune formulazioni equivalenti del problema discreto e se ne discutono le corrispondenti proprietà computazionali.