Fully stable well-posedness and fully stable minimum with respect to an admissible function. (English) Zbl 1496.90100
The authors consider parametric optimization problems in an infinite-dimensional setting where the parameters are taken from a metric space. In particular, parameter and tilt perturbations are taken into account. Generalizing known concepts such as stable well-posedness and fully stable Hölder minimum, the authors introduce the two new notions of fully stable well-posedness and fully stable minimum and discuss some of their relationships. Moreover, they present conditions for full stability as well as for full minimality.
Reviewer: Jan-Joachim Rückmann (Bergen)
MSC:
| 90C31 | Sensitivity, stability, parametric optimization |
| 90C30 | Nonlinear programming |
| 49K40 | Sensitivity, stability, well-posedness |
| 49J52 | Nonsmooth analysis |
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