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Invertibility of functional Galois connections

✍ Scribed by Marianne Akian; Stéphane Gaubert; Vassili Kolokoltsov

Publisher
Elsevier Science
Year
2002
Tongue
English
Weight
85 KB
Volume
335
Category
Article
ISSN
1631-073X

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✦ Synopsis

We consider equations of the form Bf = g, where B is a Galois connection between lattices of functions. This includes the case where B is the Fenchel transform, or more generally a Moreau conjugacy. We characterize the existence and uniqueness of a solution f in terms of generalized subdifferentials, which extends K. Zimmermann's covering theorem for maxplus linear equations. To cite this article: M.

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