A generalized proximal point algorithm with new step size update for solving monotone variational inequalities in real Hilbert spaces
DOI10.1016/j.cam.2023.115518OpenAlexW4386003035MaRDI QIDQ6056195
Gang Cai, Xiaolin Zhou, Prasit Cholamjiak, Suparat Kesornprom
Publication date: 30 October 2023
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2023.115518
Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)
Cites Work
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- Algorithms for the split variational inequality problem
- An inertial Popov's method for solving pseudomonotone variational inequalities
- New trends in general variational inequalities
- Tseng type methods for solving inclusion problems and its applications
- On the weak convergence of the extragradient method for solving pseudo-monotone variational inequalities
- Convergence of a splitting inertial proximal method for monotone operators
- Subgradient extragradient method with double inertial steps for variational inequalities
- Convergence analysis for variational inequalities and fixed point problems in reflexive Banach spaces
- Convergence results of two-step inertial proximal point algorithm
- Inertial Tseng's extragradient method for solving variational inequality problems of pseudo-monotone and non-Lipschitz operators
- Iterative method with inertial terms for nonexpansive mappings: applications to compressed sensing
- An efficient projection-type method for monotone variational inequalities in Hilbert spaces
- Golden ratio algorithms for variational inequalities
- An explicit algorithm for solving monotone variational inequalities
- Convergence of an extragradient-type method for variational inequality with applications to optimal control problems
- On the maximal monotonicity of subdifferential mappings
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- Variational Inequalities with Generalized Monotone Operators
- On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
- Single projection method for pseudo-monotone variational inequality in Hilbert spaces
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- A Generalized Proximal Point Algorithm and Its Convergence Rate
- Projected Reflected Gradient Methods for Monotone Variational Inequalities
- 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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