Subgradient extragradient method with double inertial steps for variational inequalities

Y Yao, OS Iyiola, Y Shehu - Journal of Scientific Computing, 2022 - Springer
In this paper, we obtain successively weak, strong and linear convergence analysis of the
sequence of iterates generated by our proposed subgradient extragradient method with …

An inertial extrapolation method for solving generalized split feasibility problems in real Hilbert spaces

EC Godwin, C Izuchukwu, OT Mewomo - Bollettino dell'Unione …, 2021 - Springer
In this paper, we propose a new inertial extrapolation method for solving a certain class of
generalized split feasibility problems in two real Hilbert spaces. We prove that the proposed …

[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 map** and the solution of the pseudomonotone variational …

A subgradient extragradient algorithm with inertial effects for solving strongly pseudomonotone variational inequalities

J Fan, L Liu, X Qin - Optimization, 2020 - Taylor & Francis
In this paper, we introduce a new algorithm by incorporating inertial terms in a subgradient
extragradient algorithm for solving variational inequality problems involving strongly …

A modified inertial subgradient extragradient method for solving variational inequalities

Y Shehu, OS Iyiola, S Reich - Optimization and Engineering, 2022 - Springer
Various versions of inertial subgradient extragradient methods for solving variational
inequalities have been and continue to be studied extensively in the literature. In many of …

A new inertial-projection algorithm for approximating common solution of variational inequality and fixed point problems of multivalued map**s

AOE Owolabi, TO Alakoya, A Taiwo… - … Algebra, Control and …, 2022 - aimsciences.org
In this paper, we present a new modified self-adaptive inertial subgradient extragradient
algorithm in which the two projections are made onto some half spaces. Moreover, under …

Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems

DV Thong, DV Hieu - Numerical Algorithms, 2019 - Springer
In this paper, basing on the subgradient extragradient method and inertial method with line-
search process, we introduce two new algorithms for finding a common element of the …

Weak and strong convergence theorems for solving pseudo-monotone variational inequalities with non-Lipschitz map**s

DV Thong, Y Shehu, OS Iyiola - Numerical Algorithms, 2020 - Springer
The aim of this paper is to study a classical pseudo-monotone and non-Lipschitz continuous
variational inequality problem in real Hilbert spaces. Weak and strong convergence …

New algorithms and convergence theorems for solving variational inequalities with non-Lipschitz map**s

S Reich, DV Thong, QL Dong, XH Li, VT Dung - Numerical Algorithms, 2021 - Springer
We propose and study new projection-type algorithms for solving pseudomonotone
variational inequality problems in real Hilbert spaces without assuming Lipschitz continuity …

A novel fixed-time converging neurodynamic approach to mixed variational inequalities and applications

X Ju, D Hu, C Li, X He, G Feng - IEEE Transactions on …, 2021 - ieeexplore.ieee.org
This article proposes a novel fixed-time converging forward-backward-forward
neurodynamic network (FXFNN) to deal with mixed variational inequalities (MVIs). A …