A projection algorithm for general variational inequalities with perturbed constraint sets
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Publication:945409
DOI10.1016/j.amc.2006.01.050zbMath1148.65308OpenAlexW2066173669MaRDI QIDQ945409
Susana Scheimberg, Paulo Sérgio M. Santos
Publication date: 12 September 2008
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2006.01.050
algorithmnumerical examplesprojection methodgeneralized monotonicitygeneral variational inequalityepiconvergence
Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Newton-type methods (49M15)
Related Items (11)
Self-adaptive predictor-corrector approach for general variational inequalities using a fixed-point formulation ⋮ Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space ⋮ An explicit projection method for a system of nonlinear variational inequalities with different \((\gamma ,r)\)-cocoercive mappings ⋮ Perturbed projections and subgradient projections for the multiple-sets split feasibility problem ⋮ Preconditioning methods for solving a general split feasibility problem ⋮ General variational inequalities and nonexpansive mappings ⋮ A perturbed projection algorithm with inertial technique for split feasibility problem ⋮ General \(A\)-monotone operators and perturbed iterations for nonlinear set-valued relaxed cocoercive operator inclusion problems ⋮ A relaxed projection method for finite-dimensional equilibrium problems ⋮ Some Extragradient Algorithms for Variational Inequalities ⋮ Split Feasibility and Fixed Point Problems
Cites Work
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- Alternating direction method for maximum entropy subject to simple constraint sets.
- Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
- General variational inequalities
- Algorithms for general monotone mixed variational inequalities
- Convergence and stability of perturbed three-step iterative algorithm for completely generalized nonlinear quasivariational inequalities.
- An alternative theorem for generalized variational inequalities and solvability of nonlinear quasi-\(P^M_*\)-complementarity problems
- Coupling the auxiliary problem principle and epiconvergence theory to solve general variational inequalities
- A Newton method for a class of quasi-variational inequalities
- Inexact implicit methods for monotone general variational inequalities
- Convergence of a splitting inertial proximal method for monotone operators
- Generalized Mann iterates for constructing fixed points in Hilbert spaces
- Solving non-additive traffic assignment problems: a descent method for co-coercive variational inequalities
- Family of perturbation methods for variational inequalities
- Topological methods in complementarity theory
- A self-adaptive method for solving general mixed variational inequalities
- Regularization of monotone variational inequalities with Mosco approximations of the constraint sets
- On the Resolution of the Generalized Nonlinear Complementarity Problem
- Isometries for the Legendre-Fenchel Transform
- The perturbed generalized proximal point algorithm
- Global and superlinear convergence of the smoothing Newton method and its application to general box constrained variational inequalities
- On a Generalization of a Normal Map and Equation
- Co-Coercivity and Its Role in the Convergence of Iterative Schemes for Solving Variational Inequalities
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