Pseudomonotone variational inequalities: Convergence of proximal methods
From MaRDI portal
Publication:5949887
DOI10.1023/A:1017562305308zbMath0993.49006OpenAlexW4643042MaRDI QIDQ5949887
Publication date: 5 December 2001
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1017562305308
variational inequalityauxiliary principle techniqueBregman functionproximal methodpseudomonotonicity
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items (31)
Some recent advances in projection-type methods for variational inequalities ⋮ Some developments in general variational inequalities ⋮ Generalized mixed quasi-variational-like inequalities ⋮ Application of the proximal point method to nonmonotone equilibrium problems ⋮ Proximal point algorithms and generalized nonlinear variational problems ⋮ Variational inequalities governed by strongly pseudomonotone vector fields on Hadamard manifolds ⋮ Regularized mixed variational-like inequalities ⋮ Pseudomonotone general mixed variational inequalities ⋮ The proximal point algorithm for pseudomonotone variational inequalities on Hadamard manifolds ⋮ Mixed quasi variational inequalities. ⋮ Finite convergence of a projected proximal point algorithm for the generalized variational inequalities ⋮ Pseudomonotone operators and the Bregman proximal point algorithm ⋮ On the Tikhonov regularization of affine pseudomonotone mappings ⋮ A predictor-corrector method for solving equilibrium problems ⋮ Qualitative properties of strongly pseudomonotone variational inequalities ⋮ The proximal point method for nonmonotone variational inequalities ⋮ Variational-like inequalities with relaxed \(\eta -\alpha\) pseudomonotone mappings in Banach spaces ⋮ Interior proximal algorithm for quasiconvex programming problems and variational inequalities with linear constraints ⋮ Invex equilibrium problems ⋮ Auxiliary principle technique for equilibrium problems ⋮ Convergent algorithm based on progressive regularization for solving pseudomonotone variational inequalities ⋮ Generalized partially relaxed pseudomonotone variational inequalities and general auxiliary problem principle ⋮ About proximal-type methods for a class of nonmonotone operators ⋮ Proximal methods for mixed variational inequalities ⋮ Proximal methods for mixed quasivariational inequalities ⋮ Partial proximal point method for nonmonotone equilibrium problems ⋮ Fast generalized Nash equilibrium seeking under partial-decision information ⋮ Splitting-type method for systems of variational inequalities ⋮ On a generalization of paramonotone maps and its application to solving the Stampacchia variational inequality ⋮ On finite convergence of proximal point algorithms for variational inequalities ⋮ On existence and solution methods for strongly pseudomonotone equilibrium problems
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- Complementarity problems over cones with monotone and pseudomonotone maps
- Characterization of generalized monotone maps
- Multi-valued variational inequalities with \(K\)-pseudomonotone operators
- Pseudomonotone variational inequality problems: Existence of solutions
- Seven kinds of monotone maps
- Generalized monotonicity and generalized convexity
- New classes of generalized monotonicity
- Équations et inéquations non linéaires dans les espaces vectoriels en dualité
- Submonotone mappings and the proximal point algorithm
- Monotone Operators and the Proximal Point Algorithm
- Variational Inequalities with Generalized Monotone Operators
- Nonlinear Proximal Point Algorithms Using Bregman Functions, with Applications to Convex Programming
- Co-Coercivity and Its Role in the Convergence of Iterative Schemes for Solving Variational Inequalities
- Pseudo-Convex Functions
- Pseudomonotone variational inequalities: convergence of the auxiliary problem method
This page was built for publication: Pseudomonotone variational inequalities: Convergence of proximal methods
