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AN OPERATOR INEQUALITY FOR OPERATOR MONOTONE FUNCTIONS (Operator monotone functions and related topics)

open access: yesAN OPERATOR INEQUALITY FOR OPERATOR MONOTONE FUNCTIONS (Operator monotone functions and related topics)
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Maximal Monotone Operators

Nonlinear Evolution and Difference Equations of Monotone Type in Hilbert Spaces, 2019
. We provide a new and short proof for Rockafellar’s characterization of maximal monotone operators in re(cid:13)exive Banach spaces based on S. Fitzpatrick’s function and a technique used by R. S. Burachik and B. F.
B. Djafari-Rouhani, H. Khatibzadeh
semanticscholar   +2 more sources

Resolvent splitting for sums of monotone operators with minimal lifting

Mathematical programming, 2021
In this work, we study fixed point algorithms for finding a zero in the sum of n≥2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage ...
Yura Malitsky, Matthew K. Tam
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Regular Maximal Monotone Operators

Set-Valued Analysis, 1998
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Verona, Andrei, Verona, Maria E.
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Generalized monotone operators and their averaged resolvents

Mathematical programming, 2019
The correspondence between the monotonicity of a (possibly) set-valued operator and the firm nonexpansiveness of its resolvent is a key ingredient in the convergence analysis of many optimization algorithms.
Heinz H. Bauschke   +2 more
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Operations with monotone operators and the monotonicity of the resulting operators

Monatshefte für Mathematik, 2015
Let \(\mathcal H\) be a Hilbert space \({\mathcal D} \subseteq {\mathcal H}, \eta \in (-1,1)\) and \(T: {\mathcal D} \rightarrow {\mathcal H}\) be given. The authors say \(T\) to be \textit{\(\eta\)-increasing} if \(\langle Tx-Ty, x-y \rangle \geq \eta \parallel Tx-Ty \parallel \parallel x-y \parallel\) for all \(x,y \in {\mathcal D}\). For \(T\) to be
Daniela Marian   +2 more
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Convergence of inertial dynamics and proximal algorithms governed by maximally monotone operators

Mathematical programming, 2017
We study the behavior of the trajectories of a second-order differential equation with vanishing damping, governed by the Yosida regularization of a maximally monotone operator with time-varying index, along with a new Regularized Inertial Proximal ...
H. Attouch, J. Peypouquet
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Characterization of approximate monotone operators

2022
The authors study approximate monotone operators. They show that a well-known property of monotone operators, namely, representing by convex functions, remains valid for this larger class of operators. In this general framework, results of \textit{S.
Rezaei, Mahboubeh, Mirsaney, Zahra Sadat
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Distances between Maximal Monotone Operators

Siberian Mathematical Journal, 2023
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