Constrained Variational-Hemivariational Inequalities on Nonconvex Star-Shaped Sets

On Variational and Hemivariational Inequalities Author

On nonconvex bifunction variational inequalities

In this paper, we introduce and consider a new class of variational inequalities, which is called the nonconvex bifunction variational inequality. We suggest and analyze some iterative methods for solving nonconvex bifunction variational inequalities using the auxiliary principle technique.We prove that the convergence of implicit method requires only pseudomonotonicity, which is weaker conditi...

Advances in Variational and Hemivariational Inequalities

We consider a nonlinear Dirichlet parametric problem with discontinuous right hand side in which we have a competing effect of sub and superlinear nonlinearities. A bifurcation type result is studied when the parameter tends to zero.

Recession Methods in Monotone Variational Hemivariational Inequalities

Throughout the paper we use standard notations except special symbols introduced when they are defined. All spaces considered are Banach spaces whose norms are always denoted by ‖ · ‖. For any space V we consider its dual space V ? equipped with the strong topology. We denote by 〈·, ·〉 the duality pairing between V and V . Let f : V → R ∪ {∞} be an extended-real-valued function. Identifying ext...

On a Type of Hyperbolic Variational–hemivariational Inequalities

We consider a hyperbolic variational–hemivariational initial value problem on a vector valued functions space. Using a regularization procedure and a Barbu result we obtain an existence result for a problem independent on u′.