Results 71 to 80 of about 681 (178)

A Strongly Convergent Method for the Split Feasibility Problem

Abstract and Applied Analysis, 2012
The purpose of this paper is to introduce and analyze a strongly convergent method which combined regularized method, with extragradient method for solving the split feasibility problem in the setting of infinite-dimensional Hilbert spaces. Note that the
Yonghong Yao, Yeong-Cheng Liou, Naseer Shahzad   +2 more
doaj   +1 more source

A modified extragradient method for general monotone variational inequalities

, 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

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   +2 more sources

A New Iterative Method for Solving General Mixed Variational Inequalities

, 2008
The general mixed variational inequality containing a nonlinear term φ is a useful and an important generalization of variational inequalities. The projection method cannot be applied to solve this problem due to the presence of the nonlinear term. To
Shi, Chaofeng
core  

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

Modified Noor's Extragradient Method for Solving Generalized Variational Inequalities in Banach Spaces

, 2020
Motivated and inspired by Korpelevich's and Noor's extragradient methods, we suggest an extragradient method by using the sunny nonexpansive retraction which has strong convergence for solving the generalized variational inequalities in Banach ...
Shunhou Fan, Shin Min Kang, Yonghong Yao, Muhammad Aslam Noor   +3 more
core  

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  

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 NEW EXTRAGRADIENT METHOD FOR PSEUDOMONOTONE VARIATIONAL INEQUALITIES

, 2008
(communicated by Th. Rassias) Abstract. In this paper, we consider and analyze a new extragradient method for solving pseudomonotone variational inequalities.
Muhammad Aslam Noor
core  

Structured Prediction via the Extragradient

, 2008
We present a simple and scalable algorithm for large-margin estimation of structured models, including an important class of Markov networks and combinatorial models.
Ben Taskar, Simon Lacoste-julien, Michael I. Jordan, Method Ben Taskar   +3 more
core