Well-posedness and scalarization in vector optimization. (English) Zbl 1129.90346

Summary: In this paper, we study several existing notions of well- posedness for vector optimization problems. We separate them into two classes and we establish the hierarchical structure of their relationships. Moreover, we relate vector well-posedness and well-posedness of an appropriate scalarization. This approach allows us to show that, under some compactness assumption, quasiconvex problems are well posed.


90C29 Multi-objective and goal programming
90C31 Sensitivity, stability, parametric optimization
49K40 Sensitivity, stability, well-posedness
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