Inertial hybrid splitting methods for operator inclusion problems

DOI10.1007/s10559-018-0096-yOpenAlexW2900817856MaRDI QIDQ1735317

Xianqiang Yang

Publication date: 28 March 2019

Published in: Cybernetics and Systems Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10559-018-0096-y

zbMATH Keywords

strong convergenceHilbert spacemaximal monotone operatorhybrid algorithmoperator inclusioninertial methodtseng algorithm

Mathematics Subject Classification ID

Operator theory (47-XX)

Related Items (2)

Iterative regularization methods with new stepsize rules for solving variational inclusions ⋮ Inertial Mann-type iterative method for solving split monotone variational inclusion problem with applications

Uses Software

• iPiano

Cites Work

• Low-cost modification of Korpelevich's methods for monotone equilibrium problems
• A version of the mirror descent method to solve variational inequalities
• Modified inertial Mann algorithm and inertial CQ-algorithm for nonexpansive mappings
• An inertial forward-backward algorithm for monotone inclusions
• Convergence of the modified extragradient method for variational inequalities with non-Lipschitz operators
• Convergence of a splitting inertial proximal method for monotone operators
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• Hybrid splitting methods for the system of operator inclusions with monotone operators
• Shrinking projection methods involving inertial forward-backward splitting methods for inclusion problems
• Combining fast inertial dynamics for convex optimization with Tikhonov regularization
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
• The extragradient algorithm with inertial effects for solving the variational inequality
• iPiano: Inertial Proximal Algorithm for Nonconvex Optimization
• A New Two-Step Proximal Algorithm of Solving the Problem of Equilibrium Programming
• A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
• A Dynamical Approach to an Inertial Forward-Backward Algorithm for Convex Minimization
• Convex analysis and monotone operator theory in Hilbert spaces
• An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping

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