Strong convergence for generalized equilibrium problems, fixed point problems and relaxed cocoercive variational inequalities.
Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a Banach space.
Strong convergence of a modified iterative algorithm for mixed-equilibrium problems in Hilbert spaces.
Strong convergence of an iterative method for equilibrium problems and variational inequality problems.
Strong convergence of an iterative method for inverse strongly accretive operators.
Strong convergence theorem for a new general system of variational inequalities in Banach spaces.
Strong minimizers of Blake & Zisserman functional
Strongly proper optimums and maximal optimization in multiobjective programming.
Strong-weak Stackelberg Problems in Finite Dimensional Spaces
We are concerned with two-level optimization problems called strongweak Stackelberg problems, generalizing the class of Stackelberg problems in the strong and weak sense. In order to handle the fact that the considered two-level optimization problems may fail to have a solution under mild assumptions, we consider a regularization involving ε-approximate optimal solutions in the lower level problems. We prove the existence of optimal solutions for such regularized problems and present some approximation...
Structural Properties of Solutions to Total Variation Regularization Problems
In dimension one it is proved that the solution to a total variation-regularized least-squares problem is always a function which is "constant almost everywhere" , provided that the data are in a certain sense outside the range of the operator to be inverted. A similar, but weaker result is derived in dimension two.
Structure of approximate solutions of variational problems with extended-valued convex integrands
In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand :
Structure of approximate solutions of variational problems with extended-valued convex integrands
In this work we study the structure of approximate solutions of autonomous variational problems with a lower semicontinuous strictly convex integrand f : Rn×RnR1, where Rn is the n-dimensional Euclidean space. We obtain a full...
Structure of optimal trajectories in a nonlinear dynamic model with endogenous delay.
Structure of stable solutions of a one-dimensional variational problem
We prove the periodicity of all H2-local minimizers with low energy for a one-dimensional higher order variational problem. The results extend and complement an earlier work of Stefan Müller which concerns the structure of global minimizer. The energy functional studied in this work is motivated by the investigation of coherent solid phase transformations and the competition between the effects from regularization and formation of small scale structures. With a special choice of a bilinear double...
Study of a contact problem with normal compliance and nonlocal friction
We consider a static frictional contact between a nonlinear elastic body and a foundation. The contact is modelled by a normal compliance condition such that the penetration is restricted with unilateral constraint and associated to the nonlocal friction law. We derive a variational formulation and prove its unique weak solvability if the friction coefficient is sufficiently small. Moreover, we prove the continuous dependence of the solution on the contact conditions. Also we study the finite element...
Study of a viscoelastic frictional contact problem with adhesion
We consider a quasistatic frictional contact problem between a viscoelastic body with long memory and a deformable foundation. The contact is modelled with normal compliance in such a way that the penetration is limited and restricted to unilateral constraint. The adhesion between contact surfaces is taken into account and the evolution of the bonding field is described by a first order differential equation. We derive a variational formulation and prove the existence and uniqueness result of the...
Study of an approximation process of time optimal control for fractional evolution systems in Banach spaces.
Study of stationary solutions in gene network models by the homotopy method.
Study of the optimal control for a problem of elastic torsion. (Étude du contrôle optimal pour un problème de torsion élastique.)
Su alcune applicazioni di un tipo di convergenza variazionale