Existence and stability of solutions for generalized strong vector quasi-equilibrium problem
In this paper, we study the generalized strong vector quasi-equilibrium problem without assuming that the dual of the ordering cone has a weak* compact base. We establish an existence theorem of solutions for the generalized strong vector quasi-equilibrium problem by using Kakutani-Fan-Glicksberg fixed point theorem and discuss the closedness of the strong solution set. Moreover, we also derive a stability result for this problem. (c) 2007 Elsevier Ltd. All rights reserved.
stability vector quasi-equilibrium problem kakutani-fan-glicksberg fixed point theorem set-valued mapping existence of solutions