A projection and contraction method with adaptive step sizes for solving bilevel pseudo-monotone variational inequality problems

D Viet Thong, XH Li, QL Dong, Y Je Cho… - Optimization, 2022 - Taylor & Francis
In this paper, we propose a single projection method for finding a solution of the bilevel
pseudo-monotone variational inequality problem in real Hilbert spaces. The advantage of …

On bilevel split pseudomonotone variational inequality problems with applications

PK Anh, TV Anh, LD Muu - Acta Mathematica Vietnamica, 2017 - Springer
In this paper, we investigate a bilevel split variational inequality problem (BSVIP) involving a
strongly monotone mapping in the upper-level problem and pseudomonotone mappings in …

Relaxed single projection methods for solving bilevel variational inequality problems in Hilbert spaces

FU Ogbuisi, Y Shehu, JC Yao - Networks and Spatial Economics, 2023 - Springer
In this paper, we first propose a relaxed regularization projection method involving only a
single projection for solving monotone bilevel variational inequality problem in Hilbert …

Linesearch methods for bilevel split pseudomonotone variational inequality problems

TV Anh - Numerical Algorithms, 2019 - Springer
In this paper, we propose Linesearch methods for solving a bilevel split variational inequality
problem (BSVIP) involving a strongly monotone mapping in the upper-level problem and …

A strong convergence of modified subgradient extragradient method for solving bilevel pseudomonotone variational inequality problems

D Viet Thong, D Van Hieu - Optimization, 2020 - Taylor & Francis
In this work, we investigate a new extragradient method for finding an element of the set of
solutions of the bilevel pseudomonotone variational inequality problem in real Hilbert …

A new self-adaptive iterative method for variational inclusion problems on Hadamard manifolds with applications

S DR, B Feeroz, S Shikher - Numerical Algorithms, 2023 - Springer
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 …

A strongly convergent subgradient extragradient-Halpern method for solving a class of bilevel pseudomonotone variational inequalities

TV Anh - Vietnam Journal of Mathematics, 2017 - Springer
We propose an algorithm which can be considered as a combination between the
subgradient and Halpern methods for strongly monotone bilevel variational inequalities …

A NEW INERTIAL RELAXED TSENG EXTRGRADIENT METHOD FOR SOLVING QUASI-MONOTONE BILEVEL VARIATIONAL INEQUALITY PROBLEMS IN HILBERT …

FU OGBUISI, Y SHEHU - Journal of Nonlinear & Variational …, 2023 - search.ebscohost.com
In this paper, we introduce an inertial relaxed Tseng extragradient method involving only a
single projection for solving bilevel variational inequality problems with Lipschitz continuous …

An accelerated subgradient extragradient algorithm for solving bilevel variational inequality problems involving non-Lipschitz operator

ZY Peng, D Li, Y Zhao, RL Liang - Communications in Nonlinear Science …, 2023 - Elsevier
In this paper, an accelerated subgradient extragradient algorithm with a new non-monotonic
step size is proposed to solve bilevel variational inequality problems involving non-Lipschitz …

A modified Solodov-Svaiter method for solving nonmonotone variational inequality problems

B Van Dinh, HD Manh, TTH Thanh - Numerical Algorithms, 2022 - Springer
In a very interesting paper (SIAM J. Control Optim. 37 (3): 765–776, 1999), Solodov and
Svaiter introduced an effective projection algorithm with linesearch for finding a solution of a …