[PDF][PDF] Iterative approximation of fixed point problems and variational inequality problems on Hadamard manifolds
HM He, JG Peng, HY Li - UPB Bull. Ser. A, 2022 - scientificbulletin.upb.ro
In this paper, we propose a new iterative algorithm for finding the common solution of the
fixed points of nonexpansive mapping and the solution of the pseudomonotone variational …
fixed points of nonexpansive mapping and the solution of the pseudomonotone variational …
Two new inertial algorithms for solving variational inequalities in reflexive Banach spaces
The purpose of this paper is to introduce and analyze two inertial algorithms with self-
adaptive stepsizes for solving variational inequalities in reflexive Banach spaces. Our …
adaptive stepsizes for solving variational inequalities in reflexive Banach spaces. Our …
The dynamics of riemannian robbins-monro algorithms
Many important learning algorithms, such as stochastic gradient methods, are often
deployed to solve nonlinear problems on Riemannian manifolds. Motivated by these …
deployed to solve nonlinear problems on Riemannian manifolds. Motivated by these …
Tseng's methods for inclusion problems on Hadamard manifolds
In this article, we present two Tseng's methods for finding a singularity point of an inclusion
problem which is defined by means of a sum of a single-valued vector field and a …
problem which is defined by means of a sum of a single-valued vector field and a …
[HTML][HTML] New Convergence Theorems for Pseudomonotone Variational Inequality on Hadamard Manifolds
Z Ma, L Wang - Symmetry, 2023 - mdpi.com
In this paper, we propose an efficient viscosity type subgradient extragradient algorithm for
solving pseudomonotone variational inequality on Hadamard manifolds which is of …
solving pseudomonotone variational inequality on Hadamard manifolds which is of …
Strong convergence of Bregman projection method for solving variational inequality problems in reflexive Banach spaces
Z Xie, G Cai, QL Dong - Numerical Algorithms, 2023 - Springer
This paper aims to introduce a new projection method for solving pseudomonotone
variational inequality problems in real reflexive Banach spaces. The main algorithm is based …
variational inequality problems in real reflexive Banach spaces. The main algorithm is based …
A new self-adaptive iterative method for variational inclusion problems on Hadamard manifolds with applications
The objective of this work is to design a new iterative method based on Armijo's type-
modified extragradient method for solving the inclusion problem (A+ B)-1 (0), where A is a …
modified extragradient method for solving the inclusion problem (A+ B)-1 (0), where A is a …
Riemannian stochastic approximation algorithms
MR Karimi, YP Hsieh, P Mertikopoulos… - arXiv preprint arXiv …, 2022 - arxiv.org
We examine a wide class of stochastic approximation algorithms for solving (stochastic)
nonlinear problems on Riemannian manifolds. Such algorithms arise naturally in the study …
nonlinear problems on Riemannian manifolds. Such algorithms arise naturally in the study …
Extragradient method and golden ratio method for equilibrium problems on Hadamard manifolds
J Chen, S Liu, X Chang - International Journal of Computer …, 2021 - Taylor & Francis
In this paper, we present two algorithms for solving equilibrium problems on Hadamard
manifolds. The two algorithms use the extragradient model and the golden ratio model …
manifolds. The two algorithms use the extragradient model and the golden ratio model …
Some well-posedness equivalent results for a generalized split variational-hemivariational inequality
Q Shu, Y Xiao, R Hu, Y Zhao - Optimization, 2023 - Taylor & Francis
In this paper, we introduce a generalized split variational-hemivariational inequality in
Banach space and are devoted to discussing the equivalence of this inequality with its …
Banach space and are devoted to discussing the equivalence of this inequality with its …