On the Hadamard well-posedness of set optimization problems: two new results

Abstract

In this paper, we introduce two novel concepts of well-posedness for set optimization problems and present some results in this area. The first main result improves a recent finding in the field without employing the scalarization method. The second one establishes a new form of well-posedness for set optimization problems using a recently introduced scalarization function. To clarify our findings, we also provide corollaries and examples. © The Author(s), under exclusive licence to Springer Nature Switzerland AG 2025.