关键词: 强连续, 有效解, 锥拟凸映射, 水平集

Abstract:

Using the characterizations of KuratowskiPainlevé setconvergence and level set, we studied the stability and generalized wellposedness of efficient solutions and weakly efficient solutions for quasiconvex vector optimization problem which the objective mapping was cone quasiconvex mapping by means of cone theory and methods, and obtained some results about stability and generalized wellposedness of efficient solutions and weakly efficient solutions for strongly continuous cone quasiconvex mapping sequence and its limit mapping.

Key words: strongly continuous, efficient solution, cone quasiconvex mapping, level set