Abstract
In this paper we present the notions of (U; V )-openness and (U; V )-
metric regularity for a set-valued map, proving their equivalence. By using
different approaches we show the stability, with respect to the sum of maps,
of the (U; V )-openness property, both in the setting of Banach spaces, and of
metric spaces. Finally, we infer the regularity of the map solving a generalized
parametric equation defined via a parametric map that is, in its turn,
perturbed by the sum with another map.
Lingua originale | English |
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pagine (da-a) | 92-108 |
Numero di pagine | 17 |
Rivista | Journal of Optimization Theory and Applications |
DOI | |
Stato di pubblicazione | Pubblicato - 2015 |
Keywords
- Generalized equation
- Linear openness
- Sum of maps