Invertibility of functional Galois connectionsInversibilité des correspondances de Galois fonctionnelles |
| |
| Authors: | Marianne Akian Stéphane Gaubert Vassili Kolokoltsov |
| |
| Institution: | 1. INRIA, Domaine de Voluceau, BP 105, 78153 Le Chesnay cedex, France;2. Dep. of Computing and Mathematics, Nottingham Trent University, Burton Street, Nottingham NG1 4BU, UK;3. Institute for Information Transmission Problems of Russian Academy of Science, Moscow, Russia |
| |
| Abstract: | 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 max-plus linear equations. To cite this article: M. Akian et al., C. R. Acad. Sci. Paris, Ser. I 335 (2002) 883–888. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
