Abstract
The present work is devoted to the study of stability in set optimization. In particular, a sequence of perturbed set optimization problems, with a fixed objective map, is studied under suitable continuity assumptions. A formulation of external and internal stability of the solutions is considered in the image space, in such a way that the convergence of a sequence of solutions of perturbed problems to a solution of the original problem is studied under appropriate compactness assumptions. Our results can also be seen as an extension to the set-valued framework of known stability results in vector optimization.
Lingua originale | English |
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pagine (da-a) | 358-371 |
Numero di pagine | 14 |
Rivista | Journal of Optimization Theory and Applications |
Volume | 170 |
DOI | |
Stato di pubblicazione | Pubblicato - 2016 |
Keywords
- Minimal solutions
- Set convergence
- Set optimization
- Stability