PSEUDOMONOTONE VARIATIONAL INEQUALITIES AND FIXED POINTS.

LC Ceng, A Petrușel, X Qin, JC Yao - Fixed Point Theory, 2021 - search.ebscohost.com
We introduce two new iterative algorithms with line-search process for solving a variational
inequality problem with pseudomonotone and Lipschitz continuous mapping and a common …

Self adaptive inertial extragradient algorithms for solving bilevel pseudomonotone variational inequality problems

B Tan, L Liu, X Qin - Japan Journal of Industrial and Applied Mathematics, 2021 - Springer
We introduce two inertial extragradient algorithms for solving a bilevel pseudomonotone
variational inequality problem in real Hilbert spaces. The advantages of the proposed …

Self-adaptive inertial extragradient algorithms for solving variational inequality problems

B Tan, J Fan, S Li - Computational and Applied Mathematics, 2021 - Springer
In this paper, we study the strong convergence of two Mann-type inertial extragradient
algorithms, which are devised with a new step size, for solving a variational inequality …

On the resolution of variational inequality problems with a double-hierarchical structure

L Liu, B Tan, SY Cho - 2020 - scholarworks.gnu.ac.kr
In this paper, we discuss a pseudo-monotone variational inequality problem with a
variational inequality constraint over a general, nonempty, closed and convex set, which is …

Self adaptive viscosity-type inertial extragradient algorithms for solving variational inequalities with applications

B Tan, X Qin - Mathematical Modelling and Analysis, 2022 - jau.vgtu.lt
In this paper, we introduce two new inertial extragradient algorithms with non-monotonic
stepsizes for solving monotone and Lipschitz continuous variational inequality problems in …

[PDF][PDF] Inertial modified Tseng's extragradient algorithms for solving monotone variational inequalities and fixed point problems

M Tian, G Xu - J. Nonlinear Funct. Anal, 2020 - jnfa.mathres.org
For solving monotone variational inequalities and fixed point problems of a quasi-
nonexpansive mapping in real Hilbert spaces, we introduce two new algorithms which …

[PDF][PDF] On inertial type self-adaptive iterative algorithms for solving pseudomonotone equilibrium problems and fixed point problems

FU Ogbuisi, OS Iyiola, JMT Ngnotchouye… - J. Nonlinear Funct …, 2021 - jnfa.mathres.org
In this paper, we study an inertial accelerated iterative algorithm with a self-adaptive
stepsize for finding a common solution of an equilibrium problem involving a …

On Mann viscosity subgradient extragradient algorithms for fixed point problems of finitely many strict pseudocontractions and variational inequalities

LC Ceng, A Petruşel, JC Yao - Mathematics, 2019 - mdpi.com
In a real Hilbert space, we denote CFPP and VIP as common fixed point problem of finitely
many strict pseudocontractions and a variational inequality problem for Lipschitzian …

Tseng's extragradient algorithm for pseudomonotone variational inequalities on Hadamard manifolds

J Fan, X Qin, B Tan - Applicable Analysis, 2022 - Taylor & Francis
In this paper, we investigate the Tseng's extragradient algorithm for non-Lipschitzian
variational inequalities with pseudomonotone vector fields on Hadamard manifolds. The …

Two modified inertial projection algorithms for bilevel pseudomonotone variational inequalities with applications to optimal control problems

B Tan, X Qin, JC Yao - Numerical Algorithms, 2021 - Springer
In this paper, we investigate two new algorithms for solving bilevel pseudomonotone
variational inequality problems in real Hilbert spaces. The advantages of our algorithms are …