A projected subgradient method for solving generalized mixed variational inequalities
From MaRDI portal
Publication:957374
DOI10.1016/j.orl.2008.03.007zbMath1154.58307OpenAlexW2072534783MaRDI QIDQ957374
Fu-Quan Xia, Nan-Jing Huang, Zhi-Bin Liu
Publication date: 27 November 2008
Published in: Operations Research Letters (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.orl.2008.03.007
iterative schemeset-valued mappingprojected subgradient methodparamonotonicity\(\varepsilon _k\)-subgradient
Variational inequalities (49J40) Variational inequalities (global problems) in infinite-dimensional spaces (58E35)
Related Items
Degree theory for generalized mixed quasi-variational inequalities and its applications, A projective splitting algorithm for solving generalized mixed variational inequalities, Lagrangian methods for optimal control problems governed by a mixed quasi-variational inequality, Well-posedness for a class of strongly mixed variational-hemivariational inequalities with perturbations, A modified proximal point algorithm with errors for approximating solution of the general variational inclusion, Projected subgradient method for non-Lipschitz set-valued mixed variational inequalities, Degree theory for a generalized set-valued variational inequality with an application in Banach spaces, An inexact hybrid projection-proximal point algorithm for solving generalized mixed variational inequalities, A projection subgradient method for solving optimization with variational inequality constraints, Well-posedness for a class of variational-hemivariational inequalities with perturbations, A generalized \(f\)-projection algorithm for inverse mixed variational inequalities, A new projection-type method for solving multi-valued mixed variational inequalities without monotonicity, Weak and strong convergences of the generalized penalty Forward–Forward and Forward–Backward splitting algorithms for solving bilevel hierarchical pseudomonotone equilibrium problems, Strong Convergence of a Projection-Type Method for Mixed Variational Inequalities in Hilbert Spaces, Projected viscosity subgradient methods for variational inequalities with equilibrium problem constraints in Hilbert spaces, Strong convergence of an inexact projected subgradient method for mixed variational inequalities, Projected subgradient techniques and viscosity methods for optimization with variational inequality constraints, A new extragradient-type method for mixed variational inequalities, Existence result and error bounds for a new class of inverse mixed quasi-variational inequalities, Merit functions and error bounds for constrained mixed set-valued variational inequalities via generalizedf-projection operators, An interior projected-like subgradient method for mixed variational inequalities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Auxiliary problem principle extended to variational inequalities
- New types of variational principles based on the notion of quasidifferentiability
- On the projected subgradient method for nonsmooth convex optimization in a Hilbert space
- Family of perturbation methods for variational inequalities
- Multi-valued contraction mappings
- Application Of Khobotov’s Algorithm To Variational Inequalities And Network Equilibrium Problems
- Applications of a Splitting Algorithm to Decomposition in Convex Programming and Variational Inequalities
- An iterative solution of a variational inequality for certain monotone operators in Hilbert space
- Monotone Operators and the Proximal Point Algorithm
- A New Projection Method for Variational Inequality Problems
- A Bundle Method for Solving Variational Inequalities
- Entropy-Like Proximal Methods in Convex Programming
- Finite-Dimensional Variational Inequalities and Complementarity Problems