Monotone Operators and the Proximal Point Algorithm

JOURNAL ARTICLE published August 1976 in SIAM Journal on Control and Optimization

Authors: R. Tyrrell Rockafellar

A Variable Metric Proximal Point Algorithm for Monotone Operators

JOURNAL ARTICLE published January 1999 in SIAM Journal on Control and Optimization

Authors: J. V. Burke | Maijian Qian

Weak Convergence of a Relaxed and Inertial Hybrid Projection-Proximal Point Algorithm for Maximal Monotone Operators in Hilbert Space

JOURNAL ARTICLE published January 2004 in SIAM Journal on Optimization

Authors: Felipe Alvarez

The Proximal Point Algorithm with Genuine Superlinear Convergence for the Monotone Complementarity Problem

JOURNAL ARTICLE published January 2000 in SIAM Journal on Optimization

Authors: Nobuo Yamashita | Masao Fukushima

Stochastic Convex Programming: Relatively Complete Recourse and Induced Feasibility

JOURNAL ARTICLE published May 1976 in SIAM Journal on Control and Optimization

Authors: R. T. Rockafellar | R. J-B. Wets

Tight Sublinear Convergence Rate of the Proximal Point Algorithm for Maximal Monotone Inclusion Problems

JOURNAL ARTICLE published January 2020 in SIAM Journal on Optimization

Research funded by National Natural Science Foundation of China (11771208,11922111) | National Natural Science Foundation of China (11671195)

Authors: Guoyong Gu | Junfeng Yang

A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems

JOURNAL ARTICLE published January 2008 in SIAM Journal on Control and Optimization

Authors: Paul-Emile Maingé

A Generalization of the Proximal Point Algorithm

JOURNAL ARTICLE published March 1990 in SIAM Journal on Control and Optimization

Authors: Cu D. Ha

Asymptotic Convergence Analysis of the Proximal Point Algorithm

JOURNAL ARTICLE published March 1984 in SIAM Journal on Control and Optimization

Authors: Fernando Javier Luque

An Extragradient Method and Proximal Point Algorithm for Inverse Strongly Monotone Operators and Maximal Monotone Operators in Banach Spaces

JOURNAL ARTICLE published 2 June 2009 in Fixed Point Theory and Applications

Authors: Somyot Plubtieng | Wanna Sriprad

On the proximal point algorithm and its Halpern-type variant for generalized monotone operators in Hilbert space

JOURNAL ARTICLE published March 2022 in Optimization Letters

Research funded by Deutsche Forschungsgemeinschaft (KO 1737/6-1)

Authors: Ulrich Kohlenbach

On the Convergence of the Proximal Point Algorithm for Convex Minimization

JOURNAL ARTICLE published March 1991 in SIAM Journal on Control and Optimization

Authors: Osman Güler

Feedback Systems Described by Monotone Operators

JOURNAL ARTICLE published May 1979 in SIAM Journal on Control and Optimization

Authors: Vaclav Dolezal

Modified Proximal-Point Algorithm for Maximal Monotone Operators in Banach Spaces

JOURNAL ARTICLE published July 2008 in Journal of Optimization Theory and Applications

Authors: L. Li | W. Song

Newton-like Inertial Dynamics and Proximal Algorithms Governed by Maximally Monotone Operators

JOURNAL ARTICLE published January 2020 in SIAM Journal on Optimization

Research funded by Ministry of Research and Innovation (PN-III-P1-1.1-TE-2016-0266) | European Cooperation in Science and Technology (CA16228)

Authors: Hedy Attouch | Szilárd Csaba László

Maximal Monotone Operators and the Proximal Point Algorithm in the Presence of Computational Errors

JOURNAL ARTICLE published July 2011 in Journal of Optimization Theory and Applications

Authors: A. J. Zaslavski

The Infinite-Dimensional Riccati Equation for Systems Defined by Evolution Operators

JOURNAL ARTICLE published August 1976 in SIAM Journal on Control and Optimization

Authors: Ruth Curtain | A. J. Pritchard

Extensions of Rank Conditions for Controllability and Observability to Banach Spaces and Unbounded Operators

JOURNAL ARTICLE published February 1976 in SIAM Journal on Control and Optimization

Authors: Roberto Triggiani

Uniform Convergence of the Potential Function Algorithm

JOURNAL ARTICLE published January 1976 in SIAM Journal on Control and Optimization

Authors: Lloyd Fisher | S. J. Yakowitz

Connections between Optimal Stopping and Singular Stochastic Control I. Monotone Follower Problems

JOURNAL ARTICLE published November 1984 in SIAM Journal on Control and Optimization

Authors: Ioannis Karatzas | Steven E. Shreve