On the stability of minimal solutions for parametric set optimization problems

In this paper, we establish the upper semi-continuity, lower semi-continuity and compactness of relaxed minimal and minimal solution mappings for parametric set optimization problems, where the objective set-valued mappings take values in the topological space introduced by Geoffroy [A topological convergence on power sets well-suited for set optimization. J Global Optim. 2019;73:567–581].