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Extended well-posedness properties of vector optimization problems. (English) Zbl 1028.90067
Summary: The concept of extended well-posedness of scalar optimization problems introduced by T. Zolezzi [J. Optimization Theory Appl. 91, 257-266 (1996; Zbl 0873.90094)] is generalized to vector optimization problems in three ways: weakly extended well-posedness, extended well-posedness, and strongly extended well-posedness. Criteria and characterizations of the three types of extended well-posedness are established, generalizing most of the results obtained by Zolezzi for scalar optimization problems. Finally, a stronger vector variational principle and Palais-Smale type conditions are used to derive sufficient conditions for the three types of extended well-posedness.

MSC:
90C31 Sensitivity, stability, parametric optimization
49K40 Sensitivity, stability, well-posedness
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