On generalized strong vector variational-like inequalities in Banach spaces.
On generalized vector quasivariational-like inequality problems.
On Ky Fan's minimax inequalities, mixed equilibrium problems and hemivariational inequalities.
On multivalued nonlinear variational inclusion problems with -accretive mappings in Banach spaces.
On pseudomonotone variational inequalities.
On solvability of a generalized nonlinear variational-like inequality.
On solvability of general nonlinear variational-like inequalities in reflexive Banach spaces.
On the convergence of iterative sequences for a family of nonexpansive mappings and inverse-strongly monotone mappings.
On the double critical-state model for type-II superconductivity in 3D
In this paper we mathematically analyse an evolution variational inequality which formulates the double critical-state model for type-II superconductivity in 3D space and propose a finite element method to discretize the formulation. The double critical-state model originally proposed by Clem and Perez-Gonzalez is formulated as a model in 3D space which characterizes the nonlinear relation between the electric field, the electric current, the perpendicular component of the electric current...
On the existence and convergence of approximate solutions for equilibrium problems in Banach spaces.
On the existence of the price equilibrium by different methods
We have given several proofs on the existence of the price equilibrium --- via variational inequality --- via degree theory and via Brouwer's theorems.
On the generalized nonlinear quasivariational inclusions
On the second order slip Reynolds equation with molecular dynamics: existence and uniqueness.
Operator-splitting methods for general mixed variational inequalities.
Optimal control of a frictionless contact problem with normal compliance
We consider a mathematical model which describes a contact between an elastic body and a foundation. The contact is frictionless with normal compliance. The goal of this paper is to study an optimal control problem which consists of leading the stress tensor as close as possible to a given target, by acting with a control on the boundary of the body. We state an optimal control problem which admits at least one solution. Next, we establish an optimality condition corresponding to a regularization...
Parametric general variational-like inequality problem in uniformly smooth Banach space.
Parametric problem of completely generalized quasi-variational inequalities.
Path following methods for steady laminar Bingham flow in cylindrical pipes
This paper is devoted to the numerical solution of stationary laminar Bingham fluids by path-following methods. By using duality theory, a system that characterizes the solution of the original problem is derived. Since this system is ill-posed, a family of regularized problems is obtained and the convergence of the regularized solutions to the original one is proved. For the update of the regularization parameter, a path-following method is investigated. Based on the differentiability properties...
Path following methods for steady laminar Bingham flow in cylindrical pipes
This paper is devoted to the numerical solution of stationary laminar Bingham fluids by path-following methods. By using duality theory, a system that characterizes the solution of the original problem is derived. Since this system is ill-posed, a family of regularized problems is obtained and the convergence of the regularized solutions to the original one is proved. For the update of the regularization parameter, a path-following method is investigated. Based on the differentiability properties...
Perturbed iterative algorithms for generalized nonlinear set-valued quasivariational inclusions involving generalized -accretive mappings.