Results 71 to 80 of about 10,988,230 (174)

A modified extragradient method for general monotone variational inequalities [PDF]

, 1999
In this paper, we suggest and analyze a new iterative method for solving general monotone variational inequalities by using the updating technique. The new method differs from the extragradient and other modified projection methods.
Noor, M.A.
core   +1 more source

Strong Convergence of a Modified Extragradient Method to the Minimum-Norm Solution of Variational Inequalities

Abstract and Applied Analysis, 2012
We suggest and analyze a modified extragradient method for solving variational inequalities, which is convergent strongly to the minimum-norm solution of some variational inequality in an infinite-dimensional Hilbert space.
Yonghong Yao, Muhammad Aslam Noor, Yeong-Cheng Liou   +2 more
doaj   +1 more source

Low-rank extragradient methods for scalable semidefinite optimization

Operations Research Letters
We consider several classes of highly important semidefinite optimization problems that involve both a convex objective function (smooth or nonsmooth) and additional linear or nonlinear smooth and convex constraints, which are ubiquitous in statistics, machine learning, combinatorial optimization, and other domains.
Dan Garber, Atara Kaplan
openaire   +3 more sources

Extragradient method with feasible inexact projection to variational inequality problem [PDF]

The variational inequality problem in finite-dimensional Euclidean space is addressed in this paper, and two inexact variants of the extragradient method are proposed to solve it.
Millán, R. Díaz, Ugon, J., Ferreira, O. P.   +2 more
core   +2 more sources

Finding Common Solutions of a Variational Inequality, a General System of Variational Inequalities, and a Fixed-Point Problem via a Hybrid Extragradient Method

Fixed Point Theory and Applications, 2011
We propose a hybrid extragradient method for finding a common element of the solution set of a variational inequality problem, the solution set of a general system of variational inequalities, and the fixed-point set of a strictly pseudocontractive ...
Guu Sy-Ming, Yao Jen-Chih, Ceng Lu-Chuan
doaj  

Hybrid Extragradient Iterative Algorithms for Variational Inequalities, Variational Inclusions, and Fixed-Point Problems

Journal of Applied Mathematics, 2012
We investigate the problem of finding a common solution of a general system of variational inequalities, a variational inclusion, and a fixed-point problem of a strictly pseudocontractive mapping in a real Hilbert space.
Lu-Chuan Ceng, Ching-Feng Wen
doaj   +1 more source

A Subgradient Extragradient Framework Incorporating a Relaxation and Dual Inertial Technique for Variational Inequalities

Mathematics
This paper presents an enhanced algorithm designed to solve variational inequality problems that involve a pseudomonotone and Lipschitz continuous operator in real Hilbert spaces.
Habib ur Rehman, Kanokwan Sitthithakerngkiet, Thidaporn Seangwattana   +2 more
doaj   +1 more source

A family of extragradient methods for solving equilibrium problems

, 2015
In this paper we introduce a class of numerical methods for solving an equilibrium problem. This class depends on a parameter and contains the classical extragradient method and a generalization of the two-step extragradient method proposed recently by ...
Van Nguyen, Thi Thu, Nguyen, Thi Phuong Dong, Nguyen, Van Hien, Strodiot, Jean-Jacques   +3 more
core   +2 more sources

Two modifications of the inertial Tseng extragradient method with self-adaptive step size for solving monotone variational inequality problems

Demonstratio Mathematica, 2020
In this work, we introduce two new inertial-type algorithms for solving variational inequality problems (VIPs) with monotone and Lipschitz continuous mappings in real Hilbert spaces.
Alakoya Timilehin Opeyemi, Jolaoso Lateef Olakunle, Mewomo Oluwatosin Temitope   +2 more
doaj   +1 more source

An extragradient-like approximation method for variational inequalities and fixed point problems

Fixed Point Theory and Applications, 2011
The purpose of this paper is to investigate the problem of finding a common element of the set of fixed points of an asymptotically strict pseudocontractive mapping in the intermediate sense and the set of solutions of a variational inequality problem ...
Wong Ngai-Ching, Yao Jen-Chih, Ansari Qamrul, Ceng Lu-Chuan   +3 more
doaj