A first order dynamical system and its discretization for a class of variational inequalities
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Publication:6664845
DOI10.1016/j.cam.2024.116341MaRDI QIDQ6664845
Publication date: 16 January 2025
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Equations involving nonlinear operators (general) (47J05) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)
Cites Work
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- A self-adaptive three-term conjugate gradient method for monotone nonlinear equations with convex constraints
- A simpler explicit iterative algorithm for a class of variational inequalities in Hilbert spaces
- Fixed point optimization algorithm and its application to power control in CDMA data networks
- A dynamical system associated with the fixed points set of a nonexpansive operator
- Levenberg--Marquardt methods with strong local convergence properties for solving nonlinear equations with convex constraints
- Inducing strong convergence of trajectories in dynamical systems associated to monotone inclusions with composite structure
- Strong asymptotic convergence of evolution equations governed by maximal monotone operators with Tikhonov regularization
- Tikhonov-regularization of ill-posed linear operator equations on closed convex sets
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- On fixed point theorems obtained from existence theorems for differential equations
- Extension problems for accretive sets in Banach spaces
- An iterative approach to quadratic optimization
- Asymptotic behavior of solutions of a nonlinear evolution equation
- A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
- Dynamical system for solving bilevel variational inequalities
- A method with inertial extrapolation step for convex constrained monotone equations
- New hybrid three-term spectral-conjugate gradient method for finding solutions of nonlinear monotone operator equations with applications
- On Mann implicit composite subgradient extragradient methods for general systems of variational inequalities with hierarchical variational inequality constraints
- The global exponential stability of a dynamical system for solving variational inequalities
- New iterative regularization methods for the multiple-sets split feasibility problem
- Convergence rates for boundedly regular systems
- Spectral gradient projection method for monotone nonlinear equations with convex constraints
- Systems of variational inequalities with hierarchical variational inequality constraints for asymptotically nonexpansive and pseudocontractive mappings
- A derivative-free iterative method for nonlinear monotone equations with convex constraints
- Dynamical systems for quasi variational inequalities
- The regularized CQ algorithm without \textit{a priori} knowledge of operator norm for solving the split feasibility problem
- Strong convergence to solutions for a class of variational inequalities in Banach spaces by implicit iteration methods
- Construction of fixed points of nonlinear mappings in Hilbert space
- Regularization methods for a class of variational inequalities in banach spaces
- Iterative algorithms based on the hybrid steepest descent method for the split feasibility problem
- Nonlinear Ill-posed Problems of Monotone Type
- Nonlinear evolution equations and nonlinear ergodic theorems
- An iterative procedure for constructing zeros of accretive sets in Banach spaces
- Methods for solving monotonic variational inequalities, based on the principle of iterative regularization
- Atomic Decomposition by Basis Pursuit
- Convergence of Tikhonov regularization for constrained ill-posed inverse problems
- Robust Wideband Beamforming by the Hybrid Steepest Descent Method
- Steepest‐descent proximal point algorithms for a class of variational inequalities in Banach spaces
- Hybrid inertial subgradient extragradient methods for variational inequalities and fixed point problems involving asymptotically nonexpansive mappings
- Two inertial subgradient extragradient algorithms for variational inequalities with fixed-point constraints
- Strong convergence results for variational inclusions, systems of variational inequalities and fixed point problems using composite viscosity implicit methods
- Tikhonov-like regularization of dynamical systems associated with nonexpansive operators defined in closed and convex sets
- Steepest-descent Ishikawa iterative methods for a class of variational inequalities in Banach spaces
- Fixed Point Optimization Algorithms for Distributed Optimization in Networked Systems
- A block-iterative surrogate constraint splitting method for quadratic signal recovery
- Hybrid viscosity approximation methods for systems of variational inequalities and hierarchical fixed point problems
- Variational inequalities, variational inclusions and common fixed point problems in Banach spaces
- An improved inertial projection method for solving convex constrained monotone nonlinear equations with applications
- Convergence of Extrapolated Dynamic StringAveraging Cutter Methods and Applications
- Accelerated Bregman projection rules for pseudomonotone variational inequalities and common fixed point problems
- Extrapolated simultaneous block‐iterative cutter methods and applications
- A new hybrid CGPM-based algorithm for constrained nonlinear monotone equations with applications
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