A general iterative method for solving the variational inequality problem and fixed point problem of an infinite family of nonexpansive mappings in Hilbert spaces.
A general iterative method for variational inequality problems, mixed equilibrium problems, and fixed point problems of strictly pseudocontractive mappings in Hilbert spaces.
A general projection method for a system of relaxed cocoercive variational inequalities in Hilbert spaces.
A generalization of a theorem of H. Brezis & F. E. Browder and applications to some unilateral problems
A generalized hybrid steepest-descent method for variational inequalities in Banach spaces.
A geometric lower bound on Grad’s number
In this note we provide a new geometric lower bound on the so-called Grad’s number of a domain in terms of how far is from being axisymmetric. Such an estimate is important in the study of the trend to equilibrium for the Boltzmann equation for dilute gases.
A geometric lower bound on Grad's number
In this note we provide a new geometric lower bound on the so-called Grad's number of a domain Ω in terms of how far Ω is from being axisymmetric. Such an estimate is important in the study of the trend to equilibrium for the Boltzmann equation for dilute gases.
A hybrid inertial projection-proximal method for variational inequalities.
A hybrid iterative scheme for variational inequality problems for finite families of relatively weak quasi-nonexpansive mappings.
A hybrid method for monotone variational inequalities involving pseudocontractions.
A hybrid projection algorithm for finding solutions of mixed equilibrium problem and variational inequality problem.
A hybrid proximal point three-step algorithm for nonlinear set-valued quasi-variational inclusions system involving -accretive mappings.
A level set method in shape and topology optimization for variational inequalities
The level set method is used for shape optimization of the energy functional for the Signorini problem. The boundary variations technique is used in order to derive the shape gradients of the energy functional. The conical differentiability of solutions with respect to the boundary variations is exploited. The topology modifications during the optimization process are identified by means of an asymptotic analysis. The topological derivatives of the energy shape functional are employed for the topology...
A mixed finite element method for plate bending with a unilateral inner obstacle
A unilateral problem of an elastic plate above a rigid interior obstacle is solved on the basis of a mixed variational inequality formulation. Using the saddle point theory and the Herrmann-Johnson scheme for a simultaneous computation of deflections and moments, an iterative procedure is proposed, each step of which consists in a linear plate problem. The existence, uniqueness and some convergence analysis is presented.
A Mixed Formulation of the Monge-Kantorovich Equations
We introduce and analyse a mixed formulation of the Monge-Kantorovich equations, which express optimality conditions for the mass transportation problem with cost proportional to distance. Furthermore, we introduce and analyse the finite element approximation of this formulation using the lowest order Raviart-Thomas element. Finally, we present some numerical experiments, where both the optimal transport density and the associated Kantorovich potential are computed for a coupling problem and problems...
A mixed variational formulation for the Signorini frictionless problem in viscoplasticity.
-monotonicity and applications to nonlinear variational inclusion problems.
A new approach to the extragradient method for nonlinear variational inequalities.
A new approximation method for solving variational inequalities and fixed points of nonexpansive mappings.
A new iterative algorithm for the set of fixed-point problems of nonexpansive mappings and the set of equilibrium problem and variational inequality problem.