Well-Posedness of vector optimistic and robust optimization problems

doi:10.1007/s10479-026-07061-9

Well-Posedness of vector optimistic and robust optimization problems

2026-01-30

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DOI：10.1007/s10479-026-07061-9

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We propose new concepts of efficient solutions of optimization problems under uncertainty and state corresponding new counterparts of these models called optimistic and robust optimization problems. Accordingly, we define notions of pointwise and global well-posedness for both optimistic and robust optimization problems. Applying a direct approach, we establish sufficient conditions for these well-posedness properties.

Keywords:

Vector optimization problems under uncertainty

Optimistic optimization problems

Robust optimization problems

Types of efficient solutions

Pointwise well-posedness

Global well-posedness

Well-Posedness of vector optimistic and robust optimization problems

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