On finite convergence of iterative methods for variational inequalities in Hilbert spaces
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Publication:398639
DOI10.1007/s10957-013-0460-zzbMath1293.49021OpenAlexW2068219379MaRDI QIDQ398639
Publication date: 15 August 2014
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-013-0460-z
variational inequalityHilbert spacemetric projectionextragradient methodfinite terminationproximal point algorithmgradient projection method
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Numerical methods for variational inequalities and related problems (65K15)
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Cites Work
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- Finite convergence of the proximal point algorithm for variational inequality problems
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Weak sharp solutions for variational inequalities in Banach spaces
- The asymptotic behavior of the composition of two resolvents
- Error bounds for nondegenerate monotone linear complementarity problems
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces
- Finite termination of the proximal point algorithm
- Equivalent differentiable optimization problems and descent methods for asymmetric variational inequality problems
- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- Projection and proximal point methods: Convergence results and counterexamples.
- Local convergence analysis of projection-type algorithms: unified approach
- Approximating solutions of maximal monotone operators in Hilbert spaces
- On linear convergence of iterative methods for the variational inequality problem
- A note on alternating projections in Hilbert space
- Coercivity conditions and variational inequalities
- Gâteaux differentiability of the dual gap function of a variational inequality
- A note on finite termination of iterative algorithms in mathematical programming
- On finite convergence of proximal point algorithms for variational inequalities
- Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
- Weak Sharp Minima in Mathematical Programming
- Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space
- Iterative Methods for Solving Systems of Variational Inequalities in Reflexive Banach Spaces
- Projected gradient methods for linearly constrained problems
- On the Identification of Active Constraints
- Nonlinear Perturbation of Linear Programs
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- Monotone Operators and the Proximal Point Algorithm
- Nonlinear evolution equations and nonlinear ergodic theorems
- Rates of Convergence for Conditional Gradient Algorithms Near Singular and Nonsingular Extremals
- Weak Sharp Solutions of Variational Inequalities
- Weak Sharp Solutions of Variational Inequalities in Hilbert Spaces
- A new proximal point iteration that converges weakly but not in norm
- Solving monotone inclusions via compositions of nonexpansive averaged operators
- On Projection Algorithms for Solving Convex Feasibility Problems
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Strong Convergence Theorem by a Hybrid Method for Nonexpansive Mappings and Lipschitz-Continuous Monotone Mappings
- Convex programming in Hilbert space
- On the Maximality of Sums of Nonlinear Monotone Operators
- Convex analysis and monotone operator theory in Hilbert spaces
