... connected set. The proof of thetheorem is completed.Let Nb0 denote the base of neighborhoods of 0 of LX, Y .By18, for each boundedsubset Q ⊂ X, and for each neighborhood V of 0 in Y , we ... “Existence and stability of solutions for generalized strong vector quasi-equilibrium problem,” Mathematical and Computer Modelling, vol. 47, no. 3-4, pp. 445–451, 2008.16 J P. Aubin and I. Ekeland, ... Connectedness and compactness of the solutions setIn this section, we discuss the connectedness and the compactness of the weak efficientsolutions set for set-valued vector equilibrium problems and the...