The contents of this book are structured around two main topics: the Mathematical Theory of
the Well-posed Problems (MTWP) and the Mathematical Theory of Contact Mechanics …

We consider a class of elliptic variational-hemivaria\-tional inequalities in a abstract Banach
space for which we introduce the concept of well-posedness in the sense of Tykhonov. We …

The present paper investigates the well-posedness associated with multi-time variational
inequality problems and the corresponding variational problems involving aforesaid …

In the present paper, we are devoted to exploring conditions of well-posedness for
hemivariational inequalities in reflexive Banach spaces. By using some equivalent …

We consider an elliptic variational inequality with unilateral constraints in a Hilbert space X
which, under appropriate assumptions on the data, has a unique solution u. We formulate a …

In this paper, we consider an extension of well-posedness for a minimization problem to a
class of variational–hemivariational inequalities with perturbations. We establish some …

We introduce a general concept of well-posedness in the sense of Tykhonov for abstract
problems formulated on metric spaces and characterize it in terms of properties for a family …

We consider an elliptic variational-hemivariational inequality 𝓟 in a reflexive Banach space,
governed by a set of constraints K, a nonlinear operator A, and an element f. We associate to …

In this paper, we introduce a new Tykhonov-type well-posedness concept for elliptic
hemivariational inequalities, governed by an approximating function h. We characterize the …

This paper is devoted to the Levitin–Polyak well-posedness by perturbations for a class of
general systems of set-valued vector quasi-equilibrium problems (SSVQEP) in Hausdorff …