Self-adaptive gradient projection algorithms for variational inequalities involving non-Lipschitz continuous operators
From MaRDI portal
Publication:2424035
DOI10.1007/s11075-018-0578-zzbMath1446.47077OpenAlexW2886872947MaRDI QIDQ2424035
Publication date: 21 June 2019
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-018-0578-z
strong convergencevariational inequalitymonotone operatorgradient projection algorithmextragradient algorithminertial-type algorithmsubgradient extragradient algorithmprojected reflected gradient method
Convex programming (90C25) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25)
Related Items
A simple fork algorithm for solving pseudomonotone non-Lipschitz variational inequalities ⋮ Gradient projection-type algorithms for solving ϕ-strongly pseudomonotone equilibrium problems in Banach spaces ⋮ A self-adaptive extragradient algorithm for solving quasimonotone variational inequalities ⋮ A self-adaptive stochastic subgradient extragradient algorithm for the stochastic pseudomonotone variational inequality problem with application ⋮ A modified Solodov-Svaiter method for solving nonmonotone variational inequality problems ⋮ Convergence rate of a new projected-type algorithm solving non-Lipschitz equilibrium problems ⋮ Dynamical systems for solving variational inequalities ⋮ A new self-adaptive iterative method for variational inclusion problems on Hadamard manifolds with applications ⋮ On gradient projection methods for strongly pseudomonotone variational inequalities without Lipschitz continuity ⋮ Two modified extragradient algorithms for solving variational inequalities ⋮ Inertial-type incremental constraint projection method for solving variational inequalities without Lipschitz continuity
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Numerical approach to monotone variational inequalities by a one-step projected reflected gradient method with line-search procedure
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Convergence of one-step projected gradient methods for variational inequalities
- Modified projection method for strongly pseudomonotone variational inequalities
- Equilibrium models and variational inequalities.
- Convergence theorems for inertial KM-type algorithms
- Convergence of direct methods for paramonotone variational inequalities
- Projected subgradient methods with non-Euclidean distances for non-differentiable convex minimization and variational inequalities
- Monotone (nonlinear) operators in Hilbert space
- A modification of the Arrow-Hurwicz method for search of saddle points
- On the projected subgradient method for nonsmooth convex optimization in a Hilbert space
- An interior point method with Bregman functions for the variational inequality problem with paramonotone operators
- Vector variational inequalities and vector equilibria. Mathematical theories
- Asymptotic control and stabilization of nonlinear oscillators with non-isolated equilibria
- Two new splitting algorithms for equilibrium problems
- Convergence of a splitting inertial proximal method for monotone operators
- Full convergence of an approximate projection method for nonsmooth variational inequalities
- An extragradient algorithm for monotone variational inequalities
- On some non-linear elliptic differential functional equations
- Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization
- An explicit algorithm for monotone variational inequalities
- Modification of the extra-gradient method for solving variational inequalities and certain optimization problems
- A New Projection Method for Variational Inequality Problems
- A variant of korpelevich’s method for variational inequalities with a new search strategy
- THE HEAVY BALL WITH FRICTION METHOD, I. THE CONTINUOUS DYNAMICAL SYSTEM: GLOBAL EXPLORATION OF THE LOCAL MINIMA OF A REAL-VALUED FUNCTION BY ASYMPTOTIC ANALYSIS OF A DISSIPATIVE DYNAMICAL SYSTEM
- Projected Reflected Gradient Methods for Monotone Variational Inequalities
- An Outer Approximation Method for the Variational Inequality Problem
- An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping