Connectedness of the Weak Efficient Solution Sets for the Convex-like Vector Equilibrium Problems
Xiuling Wang · Journal of Nanchang University · 2007
It studied the vector equilibrium problems determined by a mapping with an arc-concave-like first variable,and a convex-like second variable.Under the suitable hypotheses of compactness,convexity,and semicontinuity,an existence theorem of the weak efficient solution for the convex-like vector equilibrium problems is established.By using the result of the scalarization of the weak efficient solutions set,a result of the connectedness of the weak efficient solution sets is obtained in topological vector space.