Connectedness of solution set for vector equilibrium problems
WU Jianjun · Journal of Nanchang University · 2013
It discussed the connectedness set of weak efficient solutions for vector equilibrium with a mapping which is the sum of two functions with different conditions,in real locally convex Hausdorff topological vector spaces,under some suitable assumptions.Fivst,it studied the existence of the f-efficienct solution through monotone and convex of the functions.Then it composed a set-valued mapping which is upper semicontinuous.Finally,it proved the set of weaky efficienct solutions is connected through the concave of the functions.