Existence and stability of solutions for generalized ky Fan inequality problems with trifunctions (Q604258)

An existence theorem is given for solutions to a generalized Ky Fan inequality formulated over locally convex Hausdorff topological linear spaces. The theorem is obtained by applying the Kakutani-Fan-Glicksberg fixed-point theorem without imposing the condition that the dual of the ordering cone has a weak* compact base. Several applications of the existence theorem and a stability result for the solution set are also given.