The aim of this paper is to study, in a topological framework, existence and stability for the
solutions to a parametrized Stackelberg problem. To this end, approximate solutions are …

We study the logical and computational properties of basic theorems of uncountable
mathematics, in particular Pincherle's theorem, published in 1882. This theorem states that a …

In convergence spaces (for example topological spaces not necessarily first countable)"
sequential" sufficient conditions of minimal character are given in order to obtain the …

Let (fn) n be a sequence of extended real valued functions defined on the product U× V of
two convergence spaces and let (Yn) be a sequence of multifunctions defined on U and …

We discuss about the lower semicontinuity of set-valued maps, which is a crucial concept in
parametric optimization and game theory. The focus is on the intersection of set-valued …

A two-level optimization problem corresponding to a Stackelberg game in which one of the
two players has the leadership in playing the game is considered. First, a review of previous …

In this paper a generalization of mathematical programs with equilibrium constraints or
variational inequality constraints is considered, that is a mathematical program with …

In this paper, which is an extension of [4], we first show the existence of solutions to a class
of Min Sup problems with linked constraints, which satisfy a certain property. Then, we apply …

Both pessimistic and optimistic bilevel optimization problems may be not stable under
perturbation when the lower-level problem has not a unique solution, meaning that the limit …

In this paper we are interested in a strong bilevel programming problem (S). For such a
problem, we establish necessary and sufficient global optimality conditions. Our …