Strong convergence theorems for the generalized split common fixed point problem
type: Item
instance of: scholarly article
title: Strong convergence theorems for the generalized split common fixed point problem
zbMATH Open document ID: 1381.47075
DOI: 10.1155/2012/575014
author: Cuijie Zhang
published in: Journal of Applied Mathematics
publication date: 2012-08-06T00:00:00Z
review text: Summary: We introduce the generalized split common fixed point problem (GSCFPP) and show that the GSCFPP for nonexpansive operators is equivalent to the common fixed point problem. Moreover, we introduce a new iterative algorithm for finding a solution of the GSCFPP and obtain some strong convergence theorems under suitable assumptions.
Mathematics Subject Classification ID: 47J25
Mathematics Subject Classification ID: 47H09
zbMATH DE Number: 6063423
zbMATH Keywords: generalized split common fixed point problem (GSCFPP)
zbMATH Keywords: nonexpansive operators
zbMATH Keywords: common fixed point problem
zbMATH Keywords: strong convergence
Wikidata QID: Q58906160
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/575014
OpenAlex ID: W2143779321
cites work: The multiple-sets split feasibility problem and its applications for inverse problems
cites work: A multiprojection algorithm using Bregman projections in a product space
cites work: Iterative oblique projection onto convex sets and the split feasibility problem
cites work: A unified treatment of some iterative algorithms in signal processing and image reconstruction
cites work: Approximating curve and strong convergence of the \(CQ\) algorithm for the split feasibility problem
cites work: Q3066875
cites work: A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem
cites work: Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
cites work: Regularized methods for the split feasibility problem
cites work: A note on the split common fixed-point problem for quasi-nonexpansive operators
cites work: Q3644265
cites work: Cyclic algorithms for split feasibility problems in Hilbert spaces
cites work: Strong convergence of a proximal point algorithm with general errors
cites work: A unified implicit algorithm for solving the triple-hierarchical constrained optimization problem
cites work: Hierarchical convergence of an implicit double-net algorithm for nonexpansive semigroups and variational inequality problems
cites work: Q5445197
cites work: Strong convergence theorems for strongly nonexpansive sequences
cites work: Q3015539
cites work: Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
cites work: Viscosity approximation methods for nonexpansive mappings
Recommended article: Strong convergence results for the split common fixed point problem
Recommended article: Strong convergence theorems for the general split common fixed point problem in Hilbert spaces
Recommended article: Strong Convergence of a Split Common Fixed Point Problem
Recommended article: Q5158439
Recommended article: Strong convergence theorems for an implicit iterative algorithm for the split common fixed point problem
Recommended article: A strongly convergent algorithm for the split common fixed point problem
Recommended article: Q3383232
Recommended article: Q4988044
Recommended article: A Strong Convergence Theorem for Solving the Split Equality Fixed Point Problem
Recommended article: Weak and strong convergence theorems for the split common fixed point problem with demicontractive operators
description: scientific article; zbMATH DE number 6063423