Existence of Solutions for Strong Vector Quasi-equilibrium Problems
Z Aoli · Or Transactions · 2001
Let X be a real Hausdorff topological vector space and Y a real locally vector convex space. Let C C Y be a closed convex cone, K C X be a compact subset. And let F : X × X→ Y be a bifunction and G : K → 2K a set-valued function. We consider the following strong quasi-equilibrium problem:(SVQEP) Find x ∈ G(x), such that F(x, y) ∈ C, for all y ∈ G(x).In this paper, an existence result of solutions for the above problem under demi-continuity of F is presented.