The well-posedness and stability of set optimization problems are discussed in the normed vector space.Firstly,The concepts for three kinds of well-posedness to set optimization problems and their relations are given.Secondly,under the local cone Lipschitz continuity the well-posedness of set optimization problems is characterized by using the analytical method.Finally,the Berge semi-continuity and compactness of minimal solution mappings are studied for parametric set optimization involving the cone Lipschitz continuous set-valued mapping.
关键词
集优化问题/适定性/稳定性/锥Lipschitz连续性
Key words
set optimization problems/well-posedness/stability/cone Lipschitz continuity
维普
万方数据