An iterative algorithm for a general system of variational inequalities and fixed point problems in \(q\)-uniformly smooth Banach spaces
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Publication:1940436
DOI10.1007/s11590-011-0415-yzbMath1332.65091OpenAlexW2049343545MaRDI QIDQ1940436
Publication date: 7 March 2013
Published in: Optimization Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11590-011-0415-y
Variational inequalities (49J40) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
- Resolvent methods for solving system of general variational inclusions
- An iterative algorithm for finding a common solution of fixed points and a general system of variational inequalities for two inverse strongly accretive operators
- Iterative methods for solving general quasi-variational inequalities
- Minimization of equilibrium problems, variational inequality problems and fixed point problems
- Strong convergence of a proximal point algorithm with general errors
- Convergence of an iterative algorithm for systems of variational inequalities and nonexpansive mappings with applications
- Projection methods for nonconvex variational inequalities
- On a system of general mixed variational inequalities
- 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
- Viscosity approximation methods for a family of \(m\)-accretive mappings in reflexive Banach spaces
- Convergence theorems for \(\lambda \)-strict pseudo-contractions in 2-uniformly smooth Banach spaces
- Approximation of solutions to a system of variational inclusions in Banach spaces
- Convergence theorems for \(\lambda \)-strict pseudo-contractions in \(q\)-uniformly smooth Banach spaces
- Strong convergence of an iterative algorithm for an infinite family of strict pseudo-contractions in Banach spaces
- Modified extragradient methods for a system of variational inequalities in Banach spaces
- Viscosity approximation methods for resolvents of accretive operators in Banach spaces
- Strong convergence theorems for strict pseudo-contractions in \(q\)-uniformly smooth Banach spaces
- Extended general variational inequalities
- Nonlinear analysis and variational problems. In Honor of George Isac
- Strong convergence of viscosity approximation methods with strong pseudocontraction for Lipschitz pseudocontractive 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
- Non-expansive mappings and iterative methods in uniformly convex Banach spaces
- Gradient approach of computing fixed points of equilibrium problems
- Some developments in general variational inequalities
- Viscosity approximation methods for nonexpansive mappings
- Nonexpansive projections on subsets of Banach spaces
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- Strong convergence theorems for nonexpansive nonself-mappings without boundary conditions
- Weak convergence of a projection algorithm for variational inequalities in a Banach space
- Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
- Viscosity approximation methods for countable families of nonexpansive mappings in Banach spaces
- Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
- Strong convergence theorems by hybrid methods for nonexpansive mappings with equilibrium problems in Banach spaces equilibrium problems in Banach spaces
- Inequalities in Banach spaces with applications
- Analytic Inequalities
- Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
- Orthogonality and Linear Functionals in Normed Linear Spaces
- Mean Value Methods in Iteration