Existence and Uniqueness Results for a Nonstandard Variational-Hemivariational Inequalities with Application

Existence and Comparison Results for Variational-hemivariational Inequalities

We consider a prototype of quasilinear elliptic variational-hemivariational inequalities involving the indicator function of some closed convex set and a locally Lipschitz functional. We provide a generalization of the fundamental notion of suband supersolutions on the basis of which we then develop the sub-supersolution method for variationalhemivariational inequalities. Furthermore, we give a...

Existence and Uniqueness Solutions for a Class of Hemivariational Inequalities

This paper deals with the existence and uniqueness of results for a class of hemivariational inequality problem. β1(x,y)+β2(x,y)+ J0(x;y− x) 0. Moreover, we enhance the main results an application to the existence of solution for a differential inclusion.

Existence Results for Nonlocal and Nonsmooth Hemivariational Inequalities

We consider an elliptic hemivariational inequality with nonlocal nonlinearities. Assuming only certain growth conditions on the data, we are able to prove existence results for the problem under consideration. In particular, no continuity assumptions are imposed on the nonlocal term. The proofs rely on a combined use of recent results due to the authors on hemivariational inequalities and opera...

Existence Results for Quasi Variational Inequalities

It is well known that the quasi variational inequalities are equivalent to the fixed point problems. We this equivalent alternative formulation to discuss the existence of a solution of quasi variational inequalities under some mild conditions. Since the quasi variational inequalities include variational inequalities, implicit complementarity problems and optimization problems as special cases,...

Existence Results for Vector Variational- like Inequalities

In this paper, we consider and study a class of vector variational-like inequalities in Banach space without any generalized monotonicity by exploiting vector version of minimax inequality and obtain the existence results of solutions to the class of vector variational-like inequalities. The results presented here are different from [1, 5, 11], and extend and generalize the corresponding result...

On Variational and Hemivariational Inequalities Author