Variational pairs and applications to stability in nonsmooth analysis

72 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Characterizations of error bounds for lower semicontinuous functions on metric spaces (2004, methodology): “However, it turns out that the strong slope indeed yields a characterization of global error bounds on the one hand (as was observed in [ 5 ]), and that it can be appropriately compared with subdifferential operators on the other hand, as explicated in Section 4 of this paper.”
Implicit Functions and Solution Mappings: A View from Variational Analysis (2009, background): “Borwein [1986a], but the origins of this concept go back to the Banach open mapping theorem and even earlier. Theorem 3E.5 is from Rockafellar [1985]. Theorem 3E.10 comes from Ledyaev and Zhu [1999]. For historical remarks regarding inverse and implicit mapping theorems with metric regularity, see t”