The conjugate gradient method for split variational inclusion and constrained convex minimization problems

DOI10.1016/j.amc.2016.06.007zbMath1410.47017OpenAlexW2491900265MaRDI QIDQ1733715

Meixia Li, Hai-Tao Che

Publication date: 21 March 2019

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2016.06.007

zbMATH Keywords

conjugate gradient methodviscosity approximation methodconvex minimization problemsplit variational inclusion problemfixed point problem

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (14)

An iterative method for solving split monotone variational inclusion problems and finite family of variational inequality problems in Hilbert spaces ⋮ Two optimization approaches for solving split variational inclusion problems with applications ⋮ A relaxed self-adaptive projection algorithm for solving the multiple-sets split equality problem ⋮ A strongly convergent viscosity-type inertial algorithm with self adaptive stepsize for solving split variational inclusion problems in Hilbert spaces ⋮ Iterative method for split equilibrium problem and minimization problem via conjugate gradient method ⋮ A new strong convergence for solving split variational inclusion problems ⋮ On inertial proximal algorithm for split variational inclusion problems ⋮ A strongly convergent Mann-type inertial algorithm for solving split variational inclusion problems ⋮ A modified iterative method for split problem of variational inclusions and fixed point problems ⋮ The conjugate gradient viscosity approximation algorithm for split generalized equilibrium and variational inequality problems ⋮ Viscosity self-adaptive method for generalized split system of variational inclusion problem ⋮ New lower bounds for the minimum M-eigenvalue of elasticity M-tensors and applications ⋮ New algorithms for the split variational inclusion problems and application to split feasibility problems ⋮ Proximal type algorithms involving linesearch and inertial technique for split variational inclusion problem in hilbert spaces with applications

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• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Iterative oblique projection onto convex sets and the split feasibility problem
• The Split Common Null Point Problem
• A note on the CQ algorithm for the split feasibility problem

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