A general composite iterative algorithm for nonexpansive mappings in Hilbert spaces
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Publication:639049
DOI10.1016/j.camwa.2011.02.025zbMath1292.47042OpenAlexW2010800390MaRDI QIDQ639049
Lu-Chuan Ceng, Sy-Ming Guu, Jen-Chih Yao
Publication date: 18 September 2011
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2011.02.025
fixed pointvariational inequalityprojectionnonexpansive mappingsviscosity approximationcomposite iterative method
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)
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Cites Work
- Unnamed Item
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- Unnamed Item
- Convergence of hybrid steepest-descent methods for variational inequalities
- A general iterative method for equilibrium problems and strict pseudo-contractions in Hilbert spaces
- Strong convergence theorems for finitely many nonexpansive mappings and applications
- Approximation of common fixed points of families of nonexpansive mappings
- The viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces
- Relaxed viscosity approximation methods for fixed point problems and variational inequality problems
- A general iterative algorithm for nonexpansive mappings in Hilbert spaces
- Convergence analysis of modified hybrid steepest-descent methods with variable parameters for variational inequalities
- An iterative approach to quadratic optimization
- Viscosity approximation methods for nonexpansive mappings
- Viscosity approximation methods for fixed-points problems
- A general iterative method for nonexpansive mappings in Hilbert spaces
- Convergence of hybrid steepest-descent methods for generalized variational inequalities
- Hybrid viscosity approximation schemes for equilibrium problems and fixed point problems of infinitely many nonexpansive mappings
- Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings
- Strong convergence theorems of modified Mann iterative process for strict pseudo-contractions in Hilbert spaces
- Strong Convergence of an Iterative Method with Perturbed Mappings for Nonexpansive and Accretive Operators
- Minimizing certain convex functions over the intersection of the fixed point sets of nonexpansive mappings
- Mann-Type Steepest-Descent and Modified Hybrid Steepest-Descent Methods for Variational Inequalities in Banach Spaces