Relaxed extragradient iterative methods for variational inequalities
From MaRDI portal
Publication:648286
DOI10.1016/j.amc.2011.01.061zbMath1229.65109OpenAlexW2104790235MaRDI QIDQ648286
Lu-Chuan Ceng, Qamrul Hasan Ansari, Jen-Chih Yao
Publication date: 22 November 2011
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2011.01.061
convergencevariational inequalitiesHilbert spaceinverse-strongly monotone mappinggeneral system of variational inequalitiesstrictly pseudo-contractive mappingrelaxed extragradient iterative method
Variational inequalities (49J40) Discrete approximations in optimal control (49M25) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
- Unnamed Item
- Unnamed Item
- Convergence of hybrid steepest-descent methods for variational inequalities
- Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method
- Modified extragradient methods for strict pseudo-contractions and monotone mappings
- Strong convergence theorem by an extragradient method for fixed point problems and variational inequality problems
- Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
- Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities
- Relaxed viscosity approximation methods for fixed point problems and variational inequality problems
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
- Viscosity approximation methods for generalized equilibrium problems and fixed point problems
- An extragradient-like approximation method for variational inequality problems and fixed point problems
- Strong convergence theorems for strictly pseudocontractive mappings of Browder--Petryshyn type
- Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
- Some new extragradient iterative methods for variational inequalities
- Strong Convergence Theorem by a Hybrid Method for Nonexpansive Mappings and Lipschitz-Continuous Monotone Mappings
- Variational inequalities