Generalized Mann iterates for constructing fixed points in Hilbert spaces
type: Item
instance of: scholarly article
title: Generalized Mann iterates for constructing fixed points in Hilbert spaces
zbMATH Open document ID: 1032.47034
DOI: 10.1016/S0022-247X(02)00221-4
author: Patrick L. Combettes
author: Teemu Pennanen
published in: Journal of Mathematical Analysis and Applications
publication date: 2003-02-11T00:00:00Z
Mathematics Subject Classification ID: 47H10
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 1866699
zbMATH Keywords: Hilbert space
zbMATH Keywords: nonexpansive operators
zbMATH Keywords: Mann iterates
zbMATH Keywords: weak convergence
zbMATH Keywords: strong convergence
zbMATH Keywords: Opial's theorem
zbMATH Keywords: concentrating averaging matrices
zbMATH Keywords: Fejér monotone method
zbMATH Keywords: extrapolated algorithm
MaRDI profile type: Publication
cites work: On Projection Algorithms for Solving Convex Feasibility Problems
cites work: A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces
cites work: Fixed point iterations for real functions
cites work: Krasnoselski-Mann Iterations in Normed Spaces
cites work: Convergence theorems for sequences of nonlinear operators in Banach spaces
cites work: An example on the Mann iteration method for Lipschitz pseudocontractions
cites work: Q4850462
cites work: Hilbertian convex feasibility problem: Convergence of projection methods
cites work: Quasi-Fejérian analysis of some optimization algorithms
cites work: On the Mann Iterative Process
cites work: The Alternating Step Method for Monotropic Programming on the Connection Machine CM-2
cites work: On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
cites work: A MANN ITERATIVE REGULARIZATION METHOD FOR ELLIPTIC CAUCHY PROBLEMS
cites work: Q3998720
cites work: A note on segmenting Mann iterates
cites work: On the Mann iteration process in a Hilbert space
cites work: Surrogate Projection Methods for Finding Fixed Points of Firmly Nonexpansive Mappings
cites work: Q3231324
cites work: Splitting Algorithms for the Sum of Two Nonlinear Operators
cites work: Mean Value Methods in Iteration
cites work: The Solution by Iteration of Nonlinear Equations in Hilbert Spaces
cites work: Weak convergence of the sequence of successive approximations for nonexpansive mappings
cites work: Q5661059
cites work: Weak convergence to a fixed point of the sequence of Mann type iterates
cites work: Solving monotone inclusions with linear multi-step methods.
cites work: Construction of fixed points of demicompact mappings in Hilbert space
cites work: Decomposition through formalization in a product space
cites work: Über Toeplitzsche Iterationsverfahren und einige ihrer Anwendungen in der konstruktiven Fixpunkttheorie
cites work: Fixed Point Iterations Using Infinite Matrices
cites work: Monotone Operators and the Proximal Point Algorithm
Recommended article: On Mann iteration in Hilbert spaces
Recommended article: Mann iteration for generalized pseudocontractive maps in Hilbert spaces
Recommended article: Q4367869
Recommended article: Q3991152
Recommended article: Coincidence points by generalized Mann iterates with applications in Hilbert spaces
Recommended article: Q4527799
Recommended article: Generalized Mann iterations for approximating fixed points of a family of hemicontractions
Recommended article: Q2935455
Recommended article: A general principle for Mann iterations
Recommended article: Approximating common fixed points by the Mann iteration procedure in Banach spaces
description: scientific article; zbMATH DE number 1866699