Connectedness and compactness of weak efficient solutions for set-valued vector equilibrium problems.
Continuity of the non-convex play operator in the space of rectifiable curves
We prove that the vector play operator with a uniformly prox-regular characteristic set of constraints is continuous with respect to the -norm and to the -strict metric in the space of rectifiable curves, i.e., in the space of continuous functions of bounded variation. We do not assume any further regularity of the characteristic set. We also prove that the non-convex play operator is rate independent.
Controllability for variational inequalities of parabolic type with nonlinear perturbation.
Convergence and stability of the three-step iterative schemes for a class of general quasivariational-like inequalities.
Convergence estimates and approximation solvability of nonlinear implicit variational inequalities.
Convergence of paths for perturbed maximal monotone mappings in Hilbert spaces.
Convergence theorems on an iterative method for variational inequality problems and fixed point problems.
Critical point theorems and Ekeland type variational principle with applications.
Destabilization for quasivariational inequalities of reaction-diffusion type
We consider a reaction-diffusion system of the activator-inhibitor type with unilateral boundary conditions leading to a quasivariational inequality. We show that there exists a positive eigenvalue of the problem and we obtain an instability of the trivial solution also in some area of parameters where the trivial solution of the same system with Dirichlet and Neumann boundary conditions is stable. Theorems are proved using the method of a jump in the Leray-Schauder degree.
Erratum to “Iterative methods for variational inequalities over the intersection of the fixed points set of a nonexpansive semigroup in Banach spaces”.
Error bounds for general mixed quasivariational inequalities.
Estimates for -Hessian operator and some applications
The -convex functions are the viscosity subsolutions to the fully nonlinear elliptic equations , where is the elementary symmetric function of order , , of the eigenvalues of the Hessian matrix . For example, is the Laplacian and is the real Monge-Ampère operator det , while -convex functions and -convex functions are subharmonic and convex in the classical sense, respectively. In this paper, we establish an approximation theorem for negative -convex functions, and give several...
Evolutionary variational inequalities arising in quasistatic frictional contact problems for elastic materials.
Examples of bifurcation of periodic solutions to variational inequalities in
A bifurcation problem for variational inequalities is studied, where is a closed convex cone in , , is a matrix, is a small perturbation, a real parameter. The main goal of the paper is to simplify the assumptions of the abstract results concerning the existence of a bifurcation of periodic solutions developed in the previous paper and to give examples in more than three dimensional case.
Existence and uniqueness of solution of unilateral problems with data.
Existence of a Solution of the Quasi- Variational Inequality With Semicontinuous Operator
Existence of solutions and algorithm for a system of variational inequalities.
Existence of solutions and convergence of a multistep iterative algorithm for a system of variational inclusions with -accretive operators.
Existence of solutions for generalized nonlinear mixed variational-like inequalities in Banach spaces.
Existence of solutions for -generalized vector variational-like inequalities.