In recent years, sequential optimality conditions are frequently used for convergence of iterative methods to solve nonlinear constrained optimization problems. The sequential optimality conditions do not require any of the constraint qualications. In this paper, We present the necessary sequential complementary approximate Karush Kuhn Tucker (CAKKT) condition for a point to be a solution of a ...

Abstract This paper is devoted to studying a system of coupled nonlinear first order history-dependent evolution inclusions in the framework triples spaces. The multivalued terms are Clarke subgradient or convex subdifferential form. Using surjectivity result for maps and fixed point argument operator, we prove that has unique solution. We conclude with two examples an evolutionary differential...

In this paper the eigenvalue problem for a generalized hemivariational inequality is studied. Some general existence results are obtained. Applications from Engineering illustrate the theory.

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′.

In this paper, some properties of  pseudoinvex functions, defined by means of  limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality,  the Stampacchia vector variational-like inequality, and the  weak formulations of these two inequalities  defined by means of limiting subdifferential are studied. Moreover, some relationships  between the vector vari...

In this paper we study a class of quasi-variational-hemivariational inequalities in reflexive Banach spaces. The contain convex potential, locally Lipschitz superpotential, and implicit obstacle set constraints. Solution existence compactness the solution to inequality problem are established based on Kakutani–Ky Fan fixed point theorem. applicability results is illustrated by steady-state Osee...

The objective in this paper is to study a thermal frictional contact model. The deformable body consists of viscoelastic material and the process assumed be dynamic. It that behaves accordance with Kelvin-Voigt constitutive law effect added. variational formulation model leads coupled system including history-dependent hemivariational inequality for displacement fie...

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...