Finite convergence of the proximal point algorithm for variational inequality problems
DOI10.1007/s11228-012-0225-0zbMath1321.49016OpenAlexW1997503809MaRDI QIDQ491230
Publication date: 24 August 2015
Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11228-012-0225-0
metric projectionweak sharp minimafinite terminationproximal point algorithmgeneralized projectionvariational inequality problems
Convex programming (90C25) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- Weak sharp solutions for variational inequalities in Banach spaces
- Error bounds for nondegenerate monotone linear complementarity problems
- Finite termination of the proximal point algorithm
- Produits infinis de resolvantes
- An interior point method with Bregman functions for the variational inequality problem with paramonotone operators
- Weak and strong convergence theorems for maximal monotone operators in a Banach space
- Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
- Coercivity conditions and variational inequalities
- Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
- Set-valued mappings and enlargement of monotone operators.
- A note on finite termination of iterative algorithms in mathematical programming
- On finite convergence of proximal point algorithms for variational inequalities
- A Proximal Point Method for the Variational Inequality Problem in Banach Spaces
- Weak Sharp Minima in Mathematical Programming
- Asymptotic Convergence Analysis of the Proximal Point Algorithm
- Projected gradient methods for linearly constrained problems
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- Monotone Operators and the Proximal Point Algorithm
- Weak Sharp Solutions of Variational Inequalities
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Weak Sharp Solutions of Variational Inequalities in Hilbert Spaces
- A new proximal point iteration that converges weakly but not in norm
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- On the Maximality of Sums of Nonlinear Monotone Operators
This page was built for publication: Finite convergence of the proximal point algorithm for variational inequality problems