Alternated and multi-step inertial approximation methods for solving convex bilevel optimization problems
DOI10.1080/02331934.2022.2069022OpenAlexW4229015574MaRDI QIDQ6094604
Publication date: 10 October 2023
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2022.2069022
strong convergenceproximal operatoralternated inertial methodsalternated multi-step inertial methodsconvex bilevel optimisationmulti-step inertial methods
Convex programming (90C25) Numerical optimization and variational techniques (65K10) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
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- A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
- Convergence rates with inexact non-expansive operators
- Solving the variational inequality problem defined on intersection of finite level sets
- A first order method for finding minimal norm-like solutions of convex optimization problems
- On the convergence of the iterates of the ``fast iterative shrinkage/thresholding algorithm
- Averaged mappings and the gradient-projection algorithm
- Properties and iterative methods for the lasso and its variants
- Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
- Multiobjective bilevel optimization
- On the proximal gradient algorithm with alternated inertia
- Inertial shrinking projection algorithm with self-adaptive step size for split generalized equilibrium and fixed point problems for a countable family of nonexpansive multivalued mappings
- An iterative algorithm for solving variational inequality, generalized mixed equilibrium, convex minimization and zeros problems for a class of nonexpansive-type mappings
- New inertial relaxed method for solving split feasibilities
- Projection methods with alternating inertial steps for variational inequalities: weak and linear convergence
- Applying FISTA to optimization problems (with or) without minimizers
- Detecting and solving aircraft conflicts using bilevel programming
- Inertial methods for finding minimum-norm solutions of the split variational inequality problem beyond monotonicity
- MiKM: multi-step inertial Krasnosel'skiǐ-Mann algorithm and its applications
- Bilevel optimization applied to strategic pricing in competitive electricity markets
- Optimality Conditions for a Simple Convex Bilevel Programming Problem
- On perturbed steepest descent methods with inexact line search for bilevel convex optimization
- Multi-step inertial proximal contraction algorithms for monotone variational inclusion problems
- A generic online acceleration scheme for optimization algorithms via relaxation and inertia
- Bounded perturbation resilience and superiorization techniques for a modified proximal gradient method
- Proximal Point Algorithm Controlled by a Slowly Vanishing Term: Applications to Hierarchical Minimization
- A First Order Method for Solving Convex Bilevel Optimization Problems
- Iterative algorithm with self-adaptive step size for approximating the common solution of variational inequality and fixed point problems
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