dc.contributor.author | Nguyen, BT | |
dc.contributor.author | Khanh, PD | |
dc.date.accessioned | 2024-01-17T15:54:29Z | |
dc.date.available | 2024-01-17T15:54:29Z | |
dc.date.issued | 2020 | |
dc.identifier.uri | https://repositorio.uoh.cl/handle/611/518 | |
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. | |
dc.description.sponsorship | Fondecyt Postdoc Project | |
dc.description.sponsorship | Basal Program from CONICYT-Chile | |
dc.description.sponsorship | National Foundation for Science and Technology Development (NAFOSTED)(National Foundation for Science & Technology Development (NAFOSTED)) | |
dc.relation.uri | http://dx.doi.org/10.1007/s10957-020-01737-3 | |
dc.subject | Maximal monotone operator | |
dc.subject | Face | |
dc.subject | Support function | |
dc.subject | Minimal-norm selection | |
dc.subject | Yosida approximation | |
dc.subject | Strong convergence | |
dc.subject | Weak convergence | |
dc.title | Faces and Support Functions for the Values of Maximal Monotone Operators | |
dc.type | Artículo | |
uoh.revista | JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | |
dc.identifier.doi | 10.1007/s10957-020-01737-3 | |
dc.citation.volume | 186 | |
dc.citation.issue | 3 | |
uoh.indizacion | Web of Science |
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