This is an expository paper about the fundamental mathematical notion of starshapedness,
emphasizing the geometric, analytical, combinatorial, and topological properties of …

We define the concept of reproducible map and show that, whenever the constraint map
defining the quasivariational inequality (QVI) is reproducible then one can characterize 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 …

It is well known that the generalized Nash equilibrium problem, a model for multi-leader–
follower games, can be reformulated as a quasivariational inequality. We show that, in fact, a …

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 …

Abstract Recently in Castellani-Guili (J. Optim. Th. Appl., 147 (2010), 157-168), it has been
showed that the proof of the existence result for quasimonotone Stampacchia variational …

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 …

In this paper we consider a mathematical program with equilibrium constraints (MPEC)
formulated as a mathematical program with complementarity constraints. Then, we derive a …

QUASIMONOTONE VARIATIONAL INEQUALITIES AND QUASICONVEX PROGRAMMING:
QUANTITATIVE STABILITY Keywords: Quasimonotone variational i Page 1 QUASIMONOTONE …

A quasi-variational inequality corresponds to a variational inequality in which the constraint
set depends on the current value of the variable. Quasi-variational inequalities are known to …