An inertial iterative regularization method for a class of variational inequalities
From MaRDI portal
Publication:6608749
DOI10.1007/S10957-024-02443-0MaRDI QIDQ6608749
Author name not available (Why is that?), Nguyen Buong, Nguyen Thi Quynh Anh
Publication date: 20 September 2024
Published in: Journal of Optimization Theory and Applications (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
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- Title not available (Why is that?)
- A new explicit iteration method for a class of variational inequalities
- Inertial Douglas-Rachford splitting for monotone inclusion problems
- A steepest-descent Krasnosel'skii-Mann algorithm for a class of variational inequalities in Banach spaces
- 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
- An explicit iterative algorithm for a class of variational inequalities in Hilbert spaces
- Inertial iterative process for fixed points of certain quasi-nonexpansive mappings
- Convergence theorems for inertial KM-type algorithms
- On Reich's strong convergence theorems for resolvents of accretive operators
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Product formulas, nonlinear semigroups, and accretive operators
- Extension problems for accretive sets in Banach spaces
- A multiprojection algorithm using Bregman projections in a product space
- An iterative approach to quadratic optimization
- A strongly convergent iterative solution of \(0 \in U(x)\) for a maximal monotone operator U in Hilbert space
- Iterative method with inertial terms for nonexpansive mappings: applications to compressed sensing
- New iterative regularization methods for the multiple-sets split feasibility problem
- Iterative regularization methods for the multiple-sets split feasibility problem in Hilbert spaces
- Convergence rates in regularization for a system of nonlinear ill-posed equations with \(m\)-accretive operators
- Strong convergence to solutions for a class of variational inequalities in Banach spaces by implicit iteration methods
- Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings
- On some non-linear elliptic differential functional equations
- Construction of fixed points of nonlinear mappings in Hilbert space
- The hybrid steepest descent method for the variational inequality problem over the intersection of fixed point sets of nonexpansive mappings
- Regularization methods for a class of variational inequalities in Banach spaces
- A regularized parameter choice in regularization for a common solution of a finite system of ill-posed equations involving Lipschitz continuous and accretive mappings
- Outer approximation methods for solving variational inequalities in Hilbert space
- Iterative algorithms based on the hybrid steepest descent method for the split feasibility problem
- Iterative Methods for Solving Systems of Variational Inequalities in Reflexive Banach Spaces
- Nonlinear Ill-posed Problems of Monotone Type
- An iterative regularization method for variational inequalities in Hilbert spaces
- Strong Convergence of an Iterative Method with Perturbed Mappings for Nonexpansive and Accretive Operators
- Methods for solving monotonic variational inequalities, based on the principle of iterative regularization
- Approximate fixed point sequences and convergence theorems for Lipschitz pseudocontractive maps
- Robust Wideband Beamforming by the Hybrid Steepest Descent Method
- Steepest‐descent proximal point algorithms for a class of variational inequalities in Banach spaces
- Convergence, resolvent consistency, and the fixed point property for nonexpansive mappings
- The viscosity approximation method for accretive operators in Banach spaces
- Steepest-descent Ishikawa iterative methods for a class of variational inequalities in Banach spaces
- Outer Approximation Methods for Solving Variational Inequalities Defined over the Solution Set of a Split Convex Feasibility Problem
- Fixed Point Optimization Algorithms for Distributed Optimization in Networked Systems
- A block-iterative surrogate constraint splitting method for quadratic signal recovery
- Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of Lipschitz pseudocontractive mappings
- Fixed Point Theory for Lipschitzian-type Mappings with Applications
- Convex programming in Hilbert space
- Some methods of speeding up the convergence of iteration methods
- Variational inequalities
- Relaxed inertial methods for solving the split monotone variational inclusion problem beyond co-coerciveness
- Inertial Iteration Scheme for Approximating Fixed Points of Lipschitz Pseudocontractive Maps in Arbitrary Real Banach Spaces
- Convergence of Extrapolated Dynamic StringAveraging Cutter Methods and Applications
- Extrapolated simultaneous block‐iterative cutter methods and applications
This page was built for publication: An inertial iterative regularization method for a class of variational inequalities
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q6608749)
