Strong convergence of a hybrid steepest descent method for the split common fixed point problem
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Publication:2817225
DOI10.1080/02331934.2016.1147038zbMath1351.47045OpenAlexW2336954693MaRDI QIDQ2817225
Andrzej Cegielski, Fadhel A. Al-Musallam
Publication date: 29 August 2016
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2016.1147038
fixed pointvariational inequality problemquasi-nonexpansive operatorapproximately shrinking operatorLandweber-type operator
Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
- Variational inequality problems over split fixed point sets of strict pseudo-nonspreading mappings and quasi-nonexpansive mappings with applications
- Regularized methods for the split feasibility problem
- Iterative methods for fixed point problems in Hilbert spaces
- Strong convergence of the viscosity approximation process for the split common fixed-point problem of quasi-nonexpansive mappings
- A note on the split common fixed-point problem for quasi-nonexpansive operators
- Cyclic algorithms for split feasibility problems in Hilbert spaces
- Iterative selection methods for common fixed point problems
- Perturbed projections and subgradient projections for the multiple-sets split feasibility problem
- Approximating curve and strong convergence of the \(CQ\) algorithm for the split feasibility problem
- A multiprojection algorithm using Bregman projections in a product space
- Viscosity approximation process for a sequence of quasinonexpansive mappings
- Iterative methods for the split common fixed point problem in Hilbert spaces
- General method for solving the split common fixed point problem
- Damped projection method for split common fixed point problems
- Landweber-type operator and its properties
- Iterative Algorithms for Nonlinear Operators
- Solving the split feasibility problem without prior knowledge of matrix norms
- The multiple-sets split feasibility problem and its applications for inverse problems
- A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem
- Application of Quasi-Nonexpansive Operators to an Iterative Method for Variational Inequality
- The split common fixed-point problem for demicontractive mappings
- Iterative oblique projection onto convex sets and the split feasibility problem
- Hybrid Steepest Descent Method for Variational Inequality Problem over the Fixed Point Set of Certain Quasi-nonexpansive Mappings
- On Projection Algorithms for Solving Convex Feasibility Problems
- Methods for Variational Inequality Problem Over the Intersection of Fixed Point Sets of Quasi-Nonexpansive Operators
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces
- An Iteration Formula for Fredholm Integral Equations of the First Kind
