College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China
Abstract:
A new bilevel generalized mixed equilibrium problem (BGMEP) is introduced and studied in topological vector spaces. By using a minimax inequality, the existence of solutions and the behavior of solution set for the BGMEP are studied under quite mild conditions. These results are new and generalize some recent results in this field.