Proximal algorithm for solving monotone variational inclusion

DOI10.1080/02331934.2018.1455832zbMath1397.49045OpenAlexW2794714274MaRDI QIDQ3177629

Yi-Nan Wang, Cuijie Zhang

Publication date: 1 August 2018

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331934.2018.1455832

zbMATH Keywords

weak convergenceresolvent operatormonotone variational inclusion problemprojection and contraction

Mathematics Subject Classification ID

Related Items

Relaxed inertial methods for solving the split monotone variational inclusion problem beyond co-coerciveness ⋮ Proximal point algorithm for inclusion problems in Hadamard manifolds with applications ⋮ Regularization proximal method for monotone variational inclusions ⋮ Tseng's methods for inclusion problems on Hadamard manifolds ⋮ Cayley inclusion problem with its corresponding generalized resolvent equation problem in uniformly smooth Banach spaces ⋮ Dynamical systems for solving variational inclusion and fixed point problems on Hadamard manifolds ⋮ Three new iterative methods for solving inclusion problems and related problems ⋮ A new class of variational-like inclusion problems: algorithmic and analytical approach ⋮ A hybrid inertial and contraction proximal point algorithm for monotone variational inclusions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Strong convergence of a forward-backward splitting method with a new step size for solving monotone inclusions ⋮ Notes on a neural network approach to inverse variational inequalities ⋮ Strong convergence of inertial forward–backward methods for solving monotone inclusions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the \(O(1/t)\) convergence rate of the projection and contraction methods for variational inequalities with Lipschitz continuous monotone operators
• Characterization of \(H\)-monotone operators with applications to variational inclusions
• Algorithms of common solutions to quasi variational inclusion and fixed point problems
• A class of iterative methods for solving nonlinear projection equations
• \(H\)-monotone operator and resolvent operator technique for variational inclusions
• A hybrid approximate extragradient-proximal point algorithm using the enlargement of a maximal monotone operator
• A new completely general class of variational inclusions with noncompact valued mappings
• Approximately solving multi-valued variational inequalities by using a projection and contraction algorithm
• Inertial projection and contraction algorithms for variational inequalities
• Iterative methods for triple hierarchical variational inequalities with mixed equilibrium problems, variational inclusions, and variational inequalities constraints
• Iterative methods for generalized split feasibility problems in Hilbert spaces
• A class of projection and contraction methods for monotone variational inequalities
• A-monotone nonlinear relaxed cocoercive variational inclusions
• Monotone Operators and the Proximal Point Algorithm
• Convex analysis and monotone operator theory in Hilbert spaces

This page was built for publication: Proximal algorithm for solving monotone variational inclusion