Strong convergence of self-adaptive inertial algorithms for solving split variational inclusion problems with applications

DOI10.1007/s10915-021-01428-9zbMath1472.65064OpenAlexW3133547138MaRDI QIDQ2660683

Xiaolong Qin, Bing Tan, Jen-Chih Yao

Publication date: 31 March 2021

Published in: Journal of Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10915-021-01428-9

zbMATH Keywords

strong convergenceviscosity methodsplit variational inclusion probleminertial methodMann methodsignal processing problem

Mathematics Subject Classification ID

Convex programming (90C25) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Parallel algorithms in computer science (68W10) Numerical solutions to equations with nonlinear operators (65J15) Numerical methods for variational inequalities and related problems (65K15)

Related Items (14)

Inertial extragradient algorithms with non-monotone stepsizes for pseudomonotone variational inequalities and applications ⋮ Viscosity-type inertial extragradient algorithms for solving variational inequality problems and fixed point problems ⋮ Two optimization approaches for solving split variational inclusion problems with applications ⋮ New self-adaptive methods with double inertial steps for solving splitting monotone variational inclusion problems with applications ⋮ Graph convergence with an application for system of variational inclusions and fixed-point problems ⋮ New inertial modification of regularized algorithms for solving split variational inclusion problem ⋮ Perturbation Resilience of Self-Adaptive Step-Size Algorithms for Solving Split Variational Inclusion Problems and their Applications ⋮ Modified inertial extragradient methods for finding minimum-norm solution of the variational inequality problem with applications to optimal control problem ⋮ Split monotone variational inclusion with errors for image-feature extraction with multiple-image blends problem ⋮ A strongly convergent viscosity-type inertial algorithm with self adaptive stepsize for solving split variational inclusion problems in Hilbert spaces ⋮ Adaptive hybrid steepest descent algorithms involving an inertial extrapolation term for split monotone variational inclusion problems ⋮ A novel algorithm for approximating common solution of a system of monotone inclusion problems and common fixed point problem ⋮ Inertial iterative method for solving variational inequality problems of pseudo-monotone operators and fixed point problems of nonexpansive mappings in Hilbert spaces ⋮ Unnamed Item

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