Finite termination of the proximal point algorithm in Banach spaces

DOI10.1016/j.jmaa.2011.09.032zbMath1242.49066OpenAlexW2040589211MaRDI QIDQ655479

Li Xu, Shin-Ya Matsushita

Publication date: 4 January 2012

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2011.09.032

zbMATH Keywords

Banach spacemetric projectionweak sharp minimafinite terminationproximal point algorithm

Mathematics Subject Classification ID

Related Items (3)

On the weak and strong convergence of the proximal point algorithm in reflexive Banach spaces ⋮ Hybrid proximal point algorithm and applications to equilibrium problems and convex programming ⋮ Finite termination of inexact proximal point algorithms in Hilbert spaces

Cites Work

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• Error bounds for nondegenerate monotone linear complementarity problems
• Finite termination of the proximal point algorithm
• Produits infinis de resolvantes
• Weak and strong convergence theorems for maximal monotone operators in a Banach space
• Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
• On the maximal monotonicity of subdifferential mappings
• On finite convergence of proximal point algorithms for variational inequalities
• Asymptotic Convergence Analysis of the Proximal Point Algorithm
• Strong Convergence of Resolvents of Monotone Operators in Banach Spaces
• On the Convergence of the Proximal Point Algorithm for Convex Minimization
• Monotone Operators and the Proximal Point Algorithm
• Construction of best Bregman approximations in reflexive Banach spaces
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• A new proximal point iteration that converges weakly but not in norm
• A new proof for Rockafellar’s characterization of maximal monotone operators
• On the Maximality of Sums of Nonlinear Monotone Operators

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