1. Department of Mathematics, Luoyang Normal University, Luoyang 471022, Henan Province, P. R. China;2. Department of Mathematics, Sichuan University, Chengdu 610064, P. R. China
Abstract:
By a coincidence theorem, some existence theorems of solutions are proved for four types of generalized vector equilibrium problems with moving cones. Applications to the generalized semi-infinite programs with the generalized vector equilibrium constraints under the mild conditions are also given. The results of this paper unify and improve the corresponding results in the previous literature.