Faces and Support Functions for the Values of Maximal Monotone Operators
Author
dc.contributor.author
Nguyen, Bao Tran
Author
dc.contributor.author
Khanh, Pham Duy
Admission date
dc.date.accessioned
2020-11-05T18:29:38Z
Available date
dc.date.available
2020-11-05T18:29:38Z
Publication date
dc.date.issued
2020
Cita de ítem
dc.identifier.citation
Journal of Optimization Theory and Applications (2020) 186:843–863
es_ES
Identifier
dc.identifier.other
10.1007/s10957-020-01737-3
Identifier
dc.identifier.uri
https://repositorio.uchile.cl/handle/2250/177573
Abstract
dc.description.abstract
Representation formulas for faces and support functions of the values of maximal monotone operators are established in two cases: either the operators are defined on reflexive and locally uniformly convex real Banach spaces with locally uniformly convex duals, or their domains have nonempty interiors on real Banach spaces. Faces and support functions are characterized by the limit values of the minimal-norm selections of maximal monotone operators in the first case while in the second case they are represented by the limit values of any selection of maximal monotone operators. These obtained formulas are applied to study the structure of maximal monotone operators: the local unique determination from their minimal-norm selections, the local and global decompositions, and the unique determination on dense subsets of their domains.
es_ES
Patrocinador
dc.description.sponsorship
Fondecyt Postdoc Project
3180080
Basal Program from CONICYT-Chile
CMM-AFB 170001
National Foundation for Science & Technology Development (NAFOSTED)
101.01-2017.325