In science, the term “equilibrium” has been widely used in physics, chemistry, biology,
engineering, and economics, among others, within different frameworks. It generally refers to …

The study of the existence of solutions of equilibrium problems on unbounded domains
involves usually the same sufficient assumptions as for bounded domains together with a …

We study multiobjective optimization problems with equilibrium constraints (MOPECs)
described by parametric generalized equations in the form 0 ∈ G (x, y)+ Q (x, y), where both …

We present in this chapter two classes of mathematical models, used in applied
mathematics. The first class comprises complementarity problems and the second class …

The notion of pseudomonotone operator in the sense of Karamardian has been studied for
35 years and has found many applications in variational inequalities and economics. The …

A quasi-variational inequality is a variational inequality, in which the constraint set is
depending on the variable. However, as shown by a motivating example in electricity …

A new notion of" adjusted sublevel set" of a function is introduced and studied. These sets lie
between the sublevel and strict sublevel sets of the function. In contrast to the normal …

A quasivariational inequality is a variational inequality in which the constraint set depends
on the variable. Based on fixed point techniques, we prove various existence results under …

Local solutions for variational and quasi-variational inequalities are usually the best type of
solutions that could practically be obtained when in lack of convexity or else when available …

We consider a general equilibrium problem in a normed vector space setting and we
establish sufficient conditions for the existence of solutions in compact and non compact …