A result related to Ricceri's conjecture on generalized quasi-variational inequalities

Abstract

We obtain an existence theorem for generalized quasi-variational inequalities in infinite-dimensional normed spaces which improves some aspects of a recent result by P. Cubiotti [5], and gives a partial affirmative answer to a conjecture formulated by B. Ricceri [8].

Weak approximate solutions to quasi-variational inequalities: Application to social Nash equilibria

“…For a detailed discussion on this condition together with general and explicit examples, we refer to [2]. (3) In the convergence result of Theorem 4.2 above, the condition (H) can also be replaced with a slight change in the condition ii) of [9, Theorem 1] (see also [10]): For each y ∈ K − K , {x ∈ K : inf…”