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Invariant Closed Sets with Respect to Differential Inclusions with Time-Dependent Maximal Monotone Operators
The main purpose of the present paper is the characterization, in the finite dimensional setting, of weak and strong invariance of closed sets with...
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Accelerated forward–backward algorithms for structured monotone inclusions
In this paper, we develop rapidly convergent forward–backward algorithms for computing zeroes of the sum of two maximally monotone operators. A...
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A Projective Splitting Method for Monotone Inclusions: Iteration-Complexity and Application to Composite Optimization
We propose an inexact projective splitting method to solve the problem of finding a zero of a sum of maximal monotone operators. We perform...
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A new self-adaptive method for solving resolvent of sum of two monotone operators in Banach spaces
We introduce a Tseng extragradient method for solving monotone inclusion problem in Banach space. A strong convergence result of an Halpern inertial...
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Operator splitting based dynamic iteration for linear differential-algebraic port-Hamiltonian systems
A dynamic iteration scheme for linear differential-algebraic port-Hamiltonian systems based on Lions–Mercier-type operator splitting methods is...
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Optimal Analysis of Method with Batching for Monotone Stochastic Finite-Sum Variational Inequalities
AbstractVariational inequalities are a universal optimization paradigm that is interesting in itself, but also incorporates classical minimization...
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Convergence of Two Simple Methods for Solving Monotone Inclusion Problems in Reflexive Banach Spaces
We propose two very simple methods, the first one with constant step sizes and the second one with self-adaptive step sizes, for finding a zero of...
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A Primal-dual Backward Reflected Forward Splitting Algorithm for Structured Monotone Inclusions
We propose a primal-dual backward reflected forward splitting method for solving structured primal-dual monotone inclusions in real Hilbert spaces....
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Iterates of Monotone and Sublinear Operators on Spaces of Continuous Functions
In this paper we extend some results concerning approximation by iterates of positive and linear operators defined on spaces of continuous functions,...
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Generalized Mirror Prox Algorithm for Monotone Variational Inequalities: Universality and Inexact Oracle
We introduce an inexact oracle model for variational inequalities with monotone operators, propose a numerical method that solves such variational...
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On the Representation and Learning of Monotone Triangular Transport Maps
Transportation of measure provides a versatile approach for modeling complex probability distributions, with applications in density estimation,...
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One-dimensional monotone nonautonomous dynamical systems
This work is devoted to the study of the dynamics of one-dimensional monotone nonautonomous (cocycle) dynamical systems. A description of the...
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Four-Operator Splitting via a Forward–Backward–Half-Forward Algorithm with Line Search
In this article, we provide a splitting method for solving monotone inclusions in a real Hilbert space involving four operators: a maximally...
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Resolvent of the parallel composition and the proximity operator of the infimal postcomposition
In this paper we provide the resolvent computation of the parallel composition of a maximally monotone operator by a linear operator under mild...
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Stochastic relaxed inertial forward-backward-forward splitting for monotone inclusions in Hilbert spaces
We consider monotone inclusions defined on a Hilbert space where the operator is given by the sum of a maximal monotone operator T and a...
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Distributions for Nonsymmetric Monotone and Weakly Monotone Position Operators
We study the vacuum distribution, under an appropriate scaling, of a family of partial sums of nonsymmetric position operators on weakly monotone and...
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PRP-like algorithm for monotone operator equations
Many studies have been devoted to develop and improve the iterative methods for solving convex constraint nonlinear equations problem (CCP). Based on...
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On the Exact Controllability of a Semilinear Evolution Equation with an Unbounded Operator
AbstractFor the Cauchy problem associated with a controlled semilinear evolution equation with an unbounded maximal monotone operator in a Hilbert...