Well-posedness and continuity of solution to set optimization problem with variable ordering structure

The well-posedness and continuity of solution to set optimization problem with variable ordering structure are researched in the normed vector space. The concepts for three kinds of well-posedness for set optimization problem with variable ordering structure are given. The approximate solution mapping and its properties are introduced, and the continuity of the approximate solution mapping is analyzed. Based on the coradiant set, the optimality conditions for three kinds of well-posedness to set optimization problem with variable ordering structure sets are obtained by using the analytical method.