Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Inducing strong convergence of trajectories in dynamical systems
  associated to monotone inclusions with composite structure   In this work we investigate dynamical systems designed to approach the
solution sets of inclusion problems involving the sum of two maximally monotone
operators. Our aim is to design methods which guarantee strong convergence of
trajectories towards the minimum norm solution of the underlying monotone
inclusion problem. To that end, we investigate in detail the asymptotic
behavior of dynamical systems perturbed by a Tikhonov regularization where
either the maximally monotone operators themselves, or the vector field of the
dynamical system is regularized. In both cases we prove strong convergence of
the trajectories towards minimum norm solutions to an underlying monotone
inclusion problem, and we illustrate numerically qualitative differences
between these two complementary regularization strategies. The so-constructed
dynamical systems are either of Krasnoselskii-Mann, of forward-backward type or
of forward-backward-forward type, and with the help of injected regularization
we demonstrate seminal results on the strong convergence of Hilbert space
valued evolutions designed to solve monotone inclusion and equilibrium
problems.

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The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
32
The categories of this paper are: atom-ph
13
The categories of this paper are: quant-ph
17
The categories of this paper are: q-fin
7
The categories of this paper are: hep-th
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
19
The categories of this paper are: eess
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
28
The categories of this paper are: alg-geom
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
22
The categories of this paper are: chao-dyn