Golden ratio algorithms for variational inequalities
DOI10.1007/s10107-019-01416-wOpenAlexW2965900084MaRDI QIDQ2205983
Publication date: 21 October 2020
Published in: Mathematical Programming. Series A. Series B (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1803.08832
variational inequalitysaddle point problemfixed point problemfirst-order methodslinesearchcomposite minimization
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Numerical optimization and variational techniques (65K10) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Complexity and performance of numerical algorithms (65Y20) Numerical methods for variational inequalities and related problems (65K15)
Related Items
Uses Software
Cites Work
- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- An inertial forward-backward-forward primal-dual splitting algorithm for solving monotone inclusion problems
- On the ergodic convergence rates of a first-order primal-dual algorithm
- Low-cost modification of Korpelevich's methods for monotone equilibrium problems
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- On Naimpally and Singh's open questions
- Extensions of some fixed point theorems of Rhoades
- Dual extrapolation and its applications to solving variational inequalities and related problems
- Iterative approximation of fixed points
- An inertial forward-backward algorithm for monotone inclusions
- A modification of the Arrow-Hurwicz method for search of saddle points
- Information-based complexity of linear operator equations
- A new method for a class of linear variational inequalities
- Error bounds in mathematical programming
- A class of combined iterative methods for solving variational inequalities
- Convergence rate analysis of iteractive algorithms for solving variational inequality problems
- A modified projected gradient method for monotone variational inequalities
- Convergence of a splitting inertial proximal method for monotone operators
- On linear convergence of iterative methods for the variational inequality problem
- A dynamical approach to convex minimization coupling approximation with the steepest descent method
- A first-order primal-dual algorithm for convex problems with applications to imaging
- An extragradient algorithm for monotone variational inequalities
- Fast convergence of inertial dynamics and algorithms with asymptotic vanishing viscosity
- A variant of forward-backward splitting method for the sum of two monotone operators with a new search strategy
- A Randomized Mirror-Prox Method for Solving Structured Large-Scale Matrix Saddle-Point Problems
- Complexity of Variants of Tseng's Modified F-B Splitting and Korpelevich's Methods for Hemivariational Inequalities with Applications to Saddle-point and Convex Optimization Problems
- Modification of the extra-gradient method for solving variational inequalities and certain optimization problems
- A mathematical programming approach for determining oligopolistic market equilibrium
- A New Projection Method for Variational Inequality Problems
- Convergence Rates in Forward--Backward Splitting
- A variant of korpelevich’s method for variational inequalities with a new search strategy
- Relatively Smooth Convex Optimization by First-Order Methods, and Applications
- Proximal extrapolated gradient methods for variational inequalities
- A forward-backward-forward differential equation and its asymptotic properties
- Prox-Method with Rate of Convergence O(1/t) for Variational Inequalities with Lipschitz Continuous Monotone Operators and Smooth Convex-Concave Saddle Point Problems
- On Projection Algorithms for Solving Convex Feasibility Problems
- Modified Projection-Type Methods for Monotone Variational Inequalities
- Fixed Points by a New Iteration Method
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- Solving variational inequalities with Stochastic Mirror-Prox algorithm
- A variational inequality approach for the determination of oligopolistic market equilibrium
- SuperMann: A Superlinearly Convergent Algorithm for Finding Fixed Points of Nonexpansive Operators
- Quantitative Convergence Analysis of Iterated Expansive, Set-Valued Mappings
- Projected Reflected Gradient Methods for Monotone Variational Inequalities
- Composite Self-Concordant Minimization
- Some methods of speeding up the convergence of iteration methods
- A Descent Lemma Beyond Lipschitz Gradient Continuity: First-Order Methods Revisited and Applications
- Convex analysis and monotone operator theory in Hilbert spaces
- An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Golden ratio algorithms for variational inequalities