Results 31 to 40 of about 290 (158)

Two Nonmonotonic Self-Adaptive Strongly Convergent Projection-Type Methods for Solving Pseudomonotone Variational Inequalities

Journal of Function Spaces, 2021
The primary objective of this study is to introduce two novel extragradient-type iterative schemes for solving variational inequality problems in a real Hilbert space.
Chainarong Khunpanuk, Bancha Panyanak, Nuttapol Pakkaranang   +2 more
doaj   +1 more source

Relaxed Extragradient Methods with Regularization for General System of Variational Inequalities with Constraints of Split Feasibility and Fixed Point Problems

Abstract and Applied Analysis, 2013
We suggest and analyze relaxed extragradient iterative algorithms with regularization for finding a common element of the solution set of a general system of variational inequalities, the solution set of a split feasibility problem, and the fixed point ...
L. C. Ceng, A. Petruşel, J. C. Yao
doaj   +1 more source

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

Abstract and Applied Analysis, 2012
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 spaces.
Shunhou Fan, Shin Min Kang, Muhammad Aslam Noor, Yonghong Yao   +3 more
doaj   +1 more source

A New Construction and Convergence Analysis of Non-Monotonic Iterative Methods for Solving ρ-Demicontractive Fixed Point Problems and Variational Inequalities Involving Pseudomonotone Mapping

Mathematics, 2022
Two new inertial-type extragradient methods are proposed to find a numerical common solution to the variational inequality problem involving a pseudomonotone and Lipschitz continuous operator, as well as the fixed point problem in real Hilbert spaces ...
Chainarong Khunpanuk, Bancha Panyanak, Nuttapol Pakkaranang   +2 more
doaj   +1 more source

On Mann implicit composite subgradient extragradient methods for general systems of variational inequalities with hierarchical variational inequality constraints

Journal of Inequalities and Applications, 2022
In a real Hilbert space, let the VIP, GSVI, HVI, and CFPP denote a variational inequality problem, a general system of variational inequalities, a hierarchical variational inequality, and a common fixed-point problem of a countable family of uniformly ...
Lu-Chuan Ceng, Jen-Chih Yao, Yekini Shehu   +2 more
doaj   +1 more source

Extragradient method for convex minimization problem [PDF]

Journal of Inequalities and Applications, 2014
Abstract In this paper, we introduce and analyze a multi-step hybrid extragradient algorithm by combining Korpelevich’s extragradient method, the viscosity approximation method, the hybrid steepest-descent method, Mann’s iteration method and the gradient-projection method (GPM) with regularization in the setting of infinite-dimensional ...
Ceng, Lu-Chuan, Liou, Yeong-Cheng, Wen, Ching-Feng   +2 more
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Extragradient Method with Variance Reduction for Stochastic Variational Inequalities [PDF]

SIAM Journal on Optimization, 2017
We propose an extragradient method with stepsizes bounded away from zero for stochastic variational inequalities requiring only pseudo-monotonicity. We provide convergence and complexity analysis, allowing for an unbounded feasible set, unbounded operator, non-uniform variance of the oracle and, also, we do not require any regularization. Alongside the
Alfredo N. Iusem, Alejandro Jofré, Roberto Imbuzeiro Oliveira, Philip Thompson   +3 more
openaire   +3 more sources

Extragradient Type Methods for Riemannian Variational Inequality Problems

CoRR, 2023
Riemannian convex optimization and minimax optimization have recently drawn considerable attention. Their appeal lies in their capacity to adeptly manage the non-convexity of the objective function as well as constraints inherent in the feasible set in the Euclidean sense. In this work, we delve into monotone Riemannian Variational Inequality Problems (
Zihao Hu, Guanghui Wang, Xi Wang, Andre Wibisono, Jacob D. Abernethy, Molei Tao   +5 more
openaire   +4 more sources

Modified Relaxed Extragradient Method for a General System of Variational Inequalities and Nonexpansive Mappings in Banach Spaces

Abstract and Applied Analysis, 2012
The purpose of this paper is to introduce a new modified relaxed extragradient method and study for finding some common solutions for a general system of variational inequalities with inversestrongly monotone mappings and nonexpansive mappings in the ...
Yuanheng Wang, Liu Yang
doaj   +1 more source

G-Tseng’s extragradient method for approximating G-variational inequality problem in Hilbert space endowed with graph

Examples and Counterexamples
In this article, we introduce the G-Tseng’s extragradient method, inspired by the extragradient method defined by Korpelevich, for solving G-variational inequality problems in Hilbert space.
Monika Swami, M.R. Jadeja
doaj   +1 more source