Properties Of The Solutions Set To Set-valued Vector Equilibrium Problems

In this paper, first of all, we study the set-valued vector equilibrium problems and the set-valued vector Hartman- Stampacchia variational inequality in normed linear space. We prove the existence of the weak efficient solutions, and get the result of the connectedness and the compactness of the weak efficient solutions set. Finally, we study the stability of the solutions set for the parametric set-valued strong vector equilibrium problems, we prove the upper semicontinuity of the solutions set in topological linear space and the lower semicontinuity and the continuity of the solutions set in normed linear space.