Solution methods for pseudomonotone variational inequalities
From MaRDI portal
Publication:939113
DOI10.1007/s10957-008-9376-4zbMath1302.49015OpenAlexW1998363577MaRDI QIDQ939113
Jen-Chih Yao, Nguyen Dong Yen, Nguyen Nang Tam
Publication date: 21 August 2008
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-008-9376-4
convergencevariational inequalitiespseudomonotone operatorsproximal point algorithmsTikhonov regularization method
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)
Related Items (28)
Projection algorithms for solving nonmonotone equilibrium problems in Hilbert space ⋮ The extragradient method for quasi-monotone variational inequalities ⋮ Partial solution for an open question on pseudomonotone variational inequalities ⋮ A modified extragradient method for infinite-dimensional variational inequalities ⋮ General variational inequalities: existence of solutions, Tikhonov-type regularization, and well-posedness ⋮ An introduction to vector variational inequalities and some new results ⋮ Multivalued Tikhonov trajectories of general affine variational inequalities ⋮ Extragradient-proximal methods for split equilibrium and fixed point problems in Hilbert spaces ⋮ Krasnoselski-Mann iterations for hierarchical fixed point problems for a finite family of nonself mappings in Banach spaces ⋮ Convex and nonconvex sweeping processes with velocity constraints: well-posedness and insights ⋮ Strong convergence theorems for variational inequalities and fixed point problems of asymptotically strict pseudocontractive mappings in the intermediate sense ⋮ Explicit hierarchical fixed point approach to variational inequalities ⋮ Pseudomonotone operators and the Bregman proximal point algorithm ⋮ On the Tikhonov regularization of affine pseudomonotone mappings ⋮ Unnamed Item ⋮ Algorithms for a class of bilevel programs involving pseudomonotone variational inequalities ⋮ On the weak convergence of the extragradient method for solving pseudo-monotone variational inequalities ⋮ Qualitative properties of strongly pseudomonotone variational inequalities ⋮ Regularization and iterative methods for monotone variational inequalities ⋮ A modified inexact implicit method for mixed variational inequalities ⋮ Inertial extragradient algorithms for strongly pseudomonotone variational inequalities ⋮ Unnamed Item ⋮ A projection algorithm for solving pseudomonotone equilibrium problems and it's application to a class of bilevel equilibria ⋮ A New Extragradient Method for Strongly Pseudomonotone Variational Inequalities ⋮ On the weak convergence for solving semistrictly quasi-monotone variational inequality problems ⋮ A new extragradient algorithm with adaptive step-size for solving split equilibrium problems ⋮ Weak convergence theorems for symmetric generalized hybrid mappings and equilibrium problems ⋮ A Second Order Dynamical System and Its Discretization for Strongly Pseudo-monotone Variational Inequalities
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Resolvent algorithms for mixed quasivariational inequalities
- Application of the proximal point method to nonmonotone equilibrium problems
- Auxiliary principle technique for equilibrium problems
- On quasimonotone variational inequalities.
- Convergent algorithm based on progressive regularization for solving pseudomonotone variational inequalities
- Handbook of generalized convexity and generalized monotonicity
- On the solution existence of pseudomonotone variational inequalities
- Progressive regularization of variational inequalities and decomposition algorithms
- Variational inequalities with nonmonotone operators
- Pseudomonotone variational inequality problems: Existence of solutions
- Pseudomonotone general mixed variational inequalities
- Proximal methods for mixed variational inequalities
- Proximal methods for mixed quasivariational inequalities
- Modified projection method for pseudomonotone variational inequalities
- Projection-proximal methods for general variational inequalities
- Tikhonov regularization algorithm for pseudomonotone variational inequalities
- Regularization of nonmonotone variational inequalities
- A proximal method for pseudomonotone type variational-like inequalities
- Auxiliary problem method for mixed variational-like inequalities
- Monotone Operators and the Proximal Point Algorithm
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Pseudomonotone Complementarity Problems and Variational Inequalities
- Pseudomonotone variational inequalities: convergence of the auxiliary problem method
This page was built for publication: Solution methods for pseudomonotone variational inequalities
