Pseudomonotone variational inequalities: convergence of the auxiliary problem method
From MaRDI portal
Publication:5956432
DOI10.1023/A:1012234817482zbMath1027.49006OpenAlexW43918835MaRDI QIDQ5956432
Publication date: 25 February 2003
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1023/a:1012234817482
Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Numerical methods based on nonlinear programming (49M37) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)
Related Items (15)
Proximal point algorithms and generalized nonlinear variational problems ⋮ A dynamical system for strongly pseudo-monotone equilibrium problems ⋮ Projected subgradient method for non-Lipschitz set-valued mixed variational inequalities ⋮ Online distributed optimization with strongly pseudoconvex-sum cost functions and coupled inequality constraints ⋮ A new projection-type method with nondecreasing adaptive step-sizes for pseudo-monotone variational inequalities ⋮ Solution methods for pseudomonotone variational inequalities ⋮ Qualitative properties of strongly pseudomonotone variational inequalities ⋮ A bundle method for solving equilibrium problems ⋮ Convergent algorithm based on progressive regularization for solving pseudomonotone variational inequalities ⋮ Generalized partially relaxed pseudomonotone variational inequalities and general auxiliary problem principle ⋮ Pseudomonotone variational inequalities: Convergence of proximal methods ⋮ Modified projection method for strongly pseudomonotone variational inequalities ⋮ R-linear convergence analysis of inertial extragradient algorithms for strongly pseudo-monotone variational inequalities ⋮ Coupling the auxiliary problem principle and epiconvergence theory to solve general variational inequalities ⋮ Extragradient algorithms extended to equilibrium problems¶
Cites Work
- Unnamed Item
- Unnamed Item
- Convergent algorithm based on progressive regularization for solving pseudomonotone variational inequalities
- Auxiliary problem principle and decomposition of optimization problems
- Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
- Auxiliary problem principle extended to variational inequalities
- Nested monotony for variational inequalities over product of spaces and convergence of iterative algorithms
- On the Douglas-Rachford splitting method and the proximal point algorithm for maximal monotone operators
- Complementarity problems over cones with monotone and pseudomonotone maps
- Progressive regularization of variational inequalities and decomposition algorithms
- 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
- Quasi-Concave Programming
- Iterative methods for variational and complementarity problems
- Optimization by decomposition and coordination: A unified approach
- 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
This page was built for publication: Pseudomonotone variational inequalities: convergence of the auxiliary problem method
