Dynamical System Related to Primal–Dual Splitting Projection Methods

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F23%3A00133995" target="_blank" >RIV/00216224:14310/23:00133995 - isvavai.cz</a>
Result on the web
<a href="https://link.springer.com/article/10.1007/s10884-021-10068-4" target="_blank" >https://link.springer.com/article/10.1007/s10884-021-10068-4</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/s10884-021-10068-4" target="_blank" >10.1007/s10884-021-10068-4</a>

Result language
angličtina
Original language name
Dynamical System Related to Primal–Dual Splitting Projection Methods
Original language description
We introduce a dynamical system to the problem of finding zeros of the sum of two maximally monotone operators. We investigate the existence, uniqueness and extendability of solutions to this dynamical system in a Hilbert space. We prove that the trajectories of the proposed dynamical system converge strongly to a primal-dual solution of the considered problem. Under explicit time discretization of the dynamical system we obtain the best approximation algorithm for solving coupled monotone inclusion problem.
Czech name
—
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
—
OECD FORD branch
10101 - Pure mathematics

Project
<a href="/en/project/GJ19-14413Y" target="_blank" >GJ19-14413Y: Linear and nonlinear elliptic equations with singular data and related problems</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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