Stability for set optimization problems and applications

Danh, Nguyen Huu

doi:10.1007/s11590-026-02310-z

Stability for set optimization problems and applications

2026-05-01

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DOI：10.1007/s11590-026-02310-z

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This paper investigates the Hausdorff continuity of weak quasi-solutions to parametric set optimization problems. Employing nonlinear scalarization techniques for sets, we establish sufficient conditions for this continuity. Furthermore, parametric nonconvex uncertain vector optimization problems and welfare economic models are also discussed as applications of the main results.

Keywords:

Hausdorff continuity

Set optimization problems

Uncertain vector optimization problems

Welfare economic models

Stability for set optimization problems and applications

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