Inertial projection and contraction algorithms for variational inequalities

QL Dong, YJ Cho, LL Zhong, TM Rassias - Journal of Global Optimization, 2018 - Springer
In this article, we introduce an inertial projection and contraction algorithm by combining
inertial type algorithms with the projection and contraction algorithm for solving a variational …

Convergence of relaxed inertial subgradient extragradient methods for quasimonotone variational inequality problems

GN Ogwo, C Izuchukwu, Y Shehu… - Journal of Scientific …, 2022 - Springer
In this paper, we present two new relaxed inertial subgradient extragradient methods for
solving variational inequality problems in a real Hilbert space. We establish the …

Modified subgradient extragradient method for variational inequality problems

DV Thong, D Van Hieu - Numerical Algorithms, 2018 - Springer
In this paper, we introduce an algorithm as combination between the subgradient
extragradient method and inertial method for solving variational inequality problems in …

An iterative algorithm for solving variational inequality, generalized mixed equilibrium, convex minimization and zeros problems for a class of nonexpansive-type …

TO Alakoya, A Taiwo, OT Mewomo, YJ Cho - ANNALI DELL'UNIVERSITA' …, 2021 - Springer
In this paper, we study a classical monotone and Lipschitz continuous variational inequality
and fixed point problems defined on a level set of a convex function in the framework of …

A unified algorithm for solving variational inequality and fixed point problems with application to the split equality problem

LO Jolaoso, A Taiwo, TO Alakoya… - … and applied mathematics, 2020 - Springer
In this paper, we propose a new extragradient method consisting of the hybrid steepest
descent method, a single projection method and an Armijo line searching the technique for …

Modified extragradient algorithms for solving monotone variational inequalities and fixed point problems

X Zhao, Y Yao - Optimization, 2020 - Taylor & Francis
In this paper, we investigate the monotone variational inequalities and fixed point problems
in Hilbert spaces. Two modified extragradient algorithms are presented for finding a …

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

DV Thong, D Van Hieu, TM Rassias - Optimization Letters, 2020 - Springer
In this paper, two new algorithms are introduced for solving a pseudomontone variational
inequality problem with a Lipschitz condition in a Hilbert space. The algorithms are …

Weak convergence of explicit extragradient algorithms for solving equilibirum problems

H ur Rehman, P Kumam, YJ Cho… - Journal of Inequalities and …, 2019 - Springer
This paper aims to propose two new algorithms that are developed by implementing inertial
and subgradient techniques to solve the problem of pseudomonotone equilibrium problems …

Convergence of Tseng-type self-adaptive algorithms for variational inequalities and fixed point problems

Y Yao, N Shahzad, JC Yao - Carpathian Journal of Mathematics, 2021 - JSTOR
In this paper, we present a Tseng-type self-adaptive algorithm for solving a variational
inequality and a fixed point problem involving pseudomonotone and pseudocontractive …

[PDF][PDF] Strong convergence of an extragradient algorithm for variational inequality and fixed point problems

Y Yao, M Postolache, JC Yao - UPB Sci. Bull., Ser. A, 2020 - scientificbulletin.upb.ro
In this paper, we consider the fixed point and variational inequality problems in Hilbert
spaces. We suggest an extragradient algorithm for finding a common element of the set of …