Results 71 to 80 of about 2,114 (158)

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
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New extragradient-type methods for general variational inequalities

Journal of Mathematical Analysis and Applications, 2003
In this paper, the author suggested and analyzed extragradient-type methods for solving general variational inequalities by using the projection technique and the Wiener-Hopf equations technique, respectively. As applications, some results concerned with a class of quasi-variational inequalities are derived.
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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
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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.
Garber, Dan, Kaplan, Atara
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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
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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
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Proximal extragradient methods for pseudomonotone variational inequalities

Tamkang Journal of Mathematics, 2006
We consider and analyze some new proximal extragradient type methods for solving variational inequalities. The modified methods converge for pseudomonotone operators, which is a weaker condition than monotonicity. These new iterative methods include the projection, extragradient and proximal methods as special cases.
Muhammad Aslam Noor, Abdellah Bnouhachem
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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
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Extragradient methods for solving nonconvex variational inequalities

Journal of Computational and Applied Mathematics, 2011
This paper is devoted to the study of a new class of variational inequalities (the nonconvex variational inequalities), and for a new class of nonconvex sets (uniformly prox-regular set \(K_r\)). This class of uniformly prox-regular sets have played an important part in many nonconvex applications (optimization, dynamic systems and differential ...
Noor, Muhammad Aslam, Al-Said, Eisa, Noor, Khalida Inayat, Yao, Yonghong   +3 more
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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
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