Trilevel and multilevel optimization using monotone operator theory

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F24%3A00373835" target="_blank" >RIV/68407700:21230/24:00373835 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/s00186-024-00852-5" target="_blank" >https://doi.org/10.1007/s00186-024-00852-5</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s00186-024-00852-5" target="_blank" >10.1007/s00186-024-00852-5</a>

Result language
angličtina
Original language name
Trilevel and multilevel optimization using monotone operator theory
Original language description
We consider rather a general class of multi-level optimization problems, where a convex objective function is to be minimized subject to constraints of optimality of nested convex optimization problems. As a special case, we consider a trilevel optimization problem, where the objective of the two lower layers consists of a sum of a smooth and a non-smooth term. Based on fixed-point theory and related arguments, we present a natural first-order algorithm and analyze its convergence and rates of convergence in several regimes of parameters.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)

Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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