Dennis Meier
University of Vienna
8 Papers
9 Citations
Dennis Meier is an academic researcher from University of Vienna. The author has contributed to research in topics: Hilbert space & Monotone polygon. The author has an hindex of 2, co-authored 8 publications.
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Papers
Inducing strong convergence of trajectories in dynamical systems associated to monotone inclusions with composite structure
TL;DR: In this paper, the authors investigate dynamical systems designed to approach the solution sets of inclusion problems involving the sum of two maximally monotone operators, and prove strong convergence of the trajectories towards minimum norm solutions to an underlying Monotone inclusion problem.
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A strongly convergent Krasnosel'ski\v{\i}-Mann-type algorithm for finding a common fixed point of a countably infinite family of nonexpansive operators in Hilbert spaces
Radu Ioan Bot,Dennis Meier +1 more
TL;DR: In this paper, a Krasnosel'ski\vi-mann-type algorithm for finding a common fixed point of a countably infinite family of nonexpansive operators in Hilbert spaces is proposed.
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Inducing strong convergence of trajectories in dynamical systems associated to monotone inclusions with composite structure
TL;DR: The aim is to design methods which guarantee strong convergence of trajectories towards the minimum norm solution of the underlying monotone inclusion problem, and to investigate in detail the asymptotic behavior of dynamical systems perturbed by a Tikhonov regularization.
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A strongly convergent Krasnosel’skiǐ–Mann-type algorithm for finding a common fixed point of a countably infinite family of nonexpansive operators in Hilbert spaces
Radu Ioan Bot,Dennis Meier +1 more
TL;DR: A forward-backward algorithm that allows variable step sizes and generates a sequence of iterates that converge strongly to the zero with minimum norm of the sum of a maximally monotone operator and a cocoercive one is derived.
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Strong Convergence of Forward-Backward-Forward Methods for Pseudo-monotone Variational Inequalities with Applications to Dynamic User Equilibrium in Traffic Networks
TL;DR: An adaptive extension of the forward-backward-forward scheme is provided, freeing us from requiring knowledge of the global Lipschitz constant, and the scheme is at least competitive to state-of-the-art solvers, and in some case even improve upon them.
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