Modified Tseng's extragradient methods for variational inequality on Hadamard manifolds
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Publication:5156462
DOI10.1080/00036811.2019.1695783OpenAlexW2991011382MaRDI QIDQ5156462
Xiaokai Chang, Junfeng Chen, San-Yang Liu
Publication date: 18 October 2021
Published in: Applicable Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00036811.2019.1695783
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Random number generation in numerical analysis (65C10) Geometries with differentiable structure (51H25)
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New Tseng's extragradient methods for pseudomonotone variational inequality problems in Hadamard manifolds ⋮ Tseng's methods for inclusion problems on Hadamard manifolds ⋮ Two New Inertial Algorithms for Solving Variational Inequalities in Reflexive Banach Spaces ⋮ Iterative algorithms for monotone variational inequality and fixed point problems on Hadamard manifolds ⋮ Variational inequalities governed by strongly pseudomonotone vector fields on Hadamard manifolds ⋮ Weak and strong convergence results for solving monotone variational inequalities in reflexive Banach spaces ⋮ A new self-adaptive iterative method for variational inclusion problems on Hadamard manifolds with applications ⋮ Inertial proximal point algorithm for variational inclusion in Hadamard manifolds ⋮ A Novel Halpern-type Algorithm for a Monotone Inclusion Problem and a Fixed Points Problem on Hadamard Manifolds ⋮ Regularization methods for hierarchical variational inequality problems on Hadamard manifolds ⋮ Strong convergence of Bregman projection method for solving variational inequality problems in reflexive Banach spaces ⋮ Iterative algorithm for singularities of inclusion problems in Hadamard manifolds
Cites Work
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- Hybrid extragradient-like methods for generalized mixed equilibrium problems, systems of generalized equilibrium problems and optimization problems
- Korpelevich's method for variational inequality problems in Banach spaces
- Generalized gradients and characterization of epi-Lipschitz sets in Riemannian manifolds
- Singularities of monotone vector fields and an extragradient-type algorithm
- Monotone and accretive vector fields on Riemannian manifolds
- Relaxed extragradient iterative methods for variational inequalities
- Proximal point algorithm for inclusion problems in Hadamard manifolds with applications
- Invex sets and preinvex functions on Riemannian manifolds
- Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems
- Local convergence of the proximal point method for a special class of nonconvex functions on Hadamard manifolds
- Iterative algorithms for nonexpansive mappings on Hadamard manifolds
- Invariant monotone vector fields on Riemannian manifolds
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Kantorovich's theorem on Newton's method in Riemannian manifolds
- Weak and strong convergence theorems for variational inequality problems
- Convergent prediction-correction-based ADMM for multi-block separable convex programming
- Nonsmooth analysis and Hamilton--Jacobi equations on Riemannian manifolds
- Contributions to the study of monotone vector fields
- Variational inequalities on Hadamard manifolds
- Korpelevich's method for variational inequality problems on Hadamard manifolds
- The proximal point algorithm for pseudomonotone variational inequalities on Hadamard manifolds
- A generalization of linearized alternating direction method of multipliers for solving two-block separable convex programming
- Steepest descent method with a generalized Armijo search for quasiconvex functions on Riemannian manifolds
- Convex- and monotone-transformable mathematical programming problems and a proximal-like point method
- An extragradient-type algorithm for non-smooth variational inequalities
- Newton's method on Riemannian manifolds and a geometric model for the human spine
- Nonexpansive iterations in hyperbolic spaces
- Nonsmooth analysis on smooth manifolds
- Monotone vector fields and the proximal point algorithm on Hadamard manifolds
- The Geometry of Algorithms with Orthogonality Constraints
- A variant of korpelevich’s method for variational inequalities with a new search strategy
- Newton's method on Riemannian manifolds: covariant alpha theory
- An Introduction to Variational Inequalities and Their Applications
- Proximal Point Algorithm On Riemannian Manifolds
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Hybrid inertial subgradient extragradient methods for variational inequalities and fixed point problems involving asymptotically nonexpansive mappings
- Strong convergence of an inexact projected subgradient method for mixed variational inequalities
- Newton's method on Riemannian manifolds: Smale's point estimate theory under the γ-condition
