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.
set optimization problemswell-posednessstabilitycone Lipschitz continuity
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