General proximal-point algorithm for monotone operators

DOI10.1007/s11253-017-1322-xzbMath1496.47093OpenAlexW2611074082MaRDI QIDQ1729382

Javad Vahidi, Mohammad Eslamian

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-017-1322-x

zbMATH Keywords

real Hilbert spaceproximal-point algorithminfinite family of monotone operatorsstrong convergence of iterative process

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25)

Related Items

A new iterative method based on the modified proximal-point algorithm for finding a common null point of an infinite family of accretive operators in Banach spaces ⋮ A Halpern-type iteration method for Bregman nonspreading mapping and monotone operators in reflexive Banach spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A note on the regularized proximal point algorithm
• A proximal point algorithm converging strongly for general errors
• Inexact Halpern-type proximal point algorithm
• Strong convergence of a proximal point algorithm with general errors
• A regularization method for the proximal point algorithm
• On convergence criteria of generalized proximal point algorithms
• Modified block iterative algorithm for solving convex feasibility problems in Banach spaces
• Viscosity approximation methods for resolvents of accretive operators in Banach spaces
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• A note on a paper ``A regularization method for the proximal point algorithm
• Nonlinear analysis and variational problems. In Honor of George Isac
• Approximating solutions of maximal monotone operators in Hilbert spaces
• On the contraction-proximal point algorithms with multi-parameters
• Strong convergence of a regularization method for Rockafellar's proximal point algorithm
• Forcing strong convergence of proximal point iterations in a Hilbert space
• Viscosity approximation methods for fixed-points problems
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Strong and weak convergence of the modified proximal point algorithms in Hilbert space
• Set-valued mappings and enlargement of monotone operators.
• Iterative Algorithms for Nonlinear Operators
• On the Convergence of the Proximal Point Algorithm for Convex Minimization
• Monotone Operators and the Proximal Point Algorithm
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• Combining The Proximal Algorithm And Tikhonov Regularization

This page was built for publication: General proximal-point algorithm for monotone operators