Inertial proximal point algorithm for variational inclusion in Hadamard manifolds
From MaRDI portal
Publication:6099989
DOI10.1080/00036811.2021.2016719zbMath1525.47099OpenAlexW4200608909MaRDI QIDQ6099989
Liang Cai Zhao, Shi Sheng Zhang, Jen-Chih Yao, Min Liu
Publication date: 21 June 2023
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2021.2016719
Hadamard manifoldsaddle point problemmonotone inclusion problemminimisation problemregularisation methodinertial proximal point algorithmFejér monotone
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems on manifolds (58C30) Variational and other types of inclusions (47J22)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Forward-backward splitting methods for accretive operators in Banach spaces
- Equilibrium problems in Hadamard manifolds
- Proximal point algorithm for inclusion problems in Hadamard manifolds with applications
- An inertial forward-backward algorithm for monotone inclusions
- An iterative algorithm for the variational inequality problem
- Convergence of a splitting inertial proximal method for monotone operators
- Shrinking projection algorithm for solving a finite family of quasi-variational inclusion problems in Hadamard manifold
- A new algorithm for monotone inclusion problems and fixed points on Hadamard manifolds with applications
- Existence and boundedness of solutions to inclusion problems for maximal monotone vector fields in Hadamard manifolds
- An inexact proximal point algorithm for maximal monotone vector fields on Hadamard manifolds
- Regularization of proximal point algorithms in Hadamard manifolds
- Variational Inequalities for Set-Valued Vector Fields on Riemannian Manifolds: Convexity of the Solution Set and the Proximal Point Algorithm
- Weak Sharp Minima on Riemannian Manifolds
- Monotone vector fields and the proximal point algorithm on Hadamard manifolds
- Monotone Operators and the Proximal Point Algorithm
- Proximal Point Algorithm On Riemannian Manifolds
- Halpern- and Mann-Type Algorithms for Fixed Points and Inclusion Problems on Hadamard Manifolds
- A Modified Forward-Backward Splitting Method for Maximal Monotone Mappings
- Convergence Analysis for Variational Inclusion Problems Equilibrium Problems and Fixed Point in Hadamard Manifolds
- On the inertial forward-backward splitting technique for solving a system of inclusion problems in Hilbert spaces
- Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds
- An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
