Results 41 to 50 of about 290 (158)

Modified extragradient methods for solving variational inequalities

Computers & Mathematics with Applications, 2009
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Abdellah Bnouhachem, M. H. Xu, Xiao-Ling Fu, Zhaohan Sheng   +3 more
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Self adaptive viscosity-type inertial extragradient algorithms for solving variational inequalities with applications

Mathematical Modelling and Analysis, 2022
In this paper, we introduce two new inertial extragradient algorithms with non-monotonic stepsizes for solving monotone and Lipschitz continuous variational inequality problems in real Hilbert spaces.
Bing Tan, Xiaolong Qin
doaj   +1 more source

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 ...
Muhammad Aslam Noor, Eisa A. Al-Said, Khalida Inayat Noor, Yonghong Yao   +3 more
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The Tseng’s extragradient method for semistrictly quasimonotone variational inequalities

Journal of Applied and Numerical Optimization, 2022
© 2022 Journal of Applied and Numerical Optimization.In this paper, we investigate the weak convergence of an iterative method for solving classical variational inequalities problems with semistrictly quasimonotone and Lipschitz-continuous mappings in real Hilbert space.
Ur Rehman, Habib, Karahan, Ibrahim, ÖZDEMİR, Murat, Wairojjana, Nopparat   +3 more
openaire   +2 more sources

Self-adaptive subgradient extragradient method with inertial modification for solving monotone variational inequality problems and quasi-nonexpansive fixed point problems

Journal of Inequalities and Applications, 2019
In this paper, we introduce a new algorithm with self-adaptive method for finding a solution of the variational inequality problem involving monotone operator and the fixed point problem of a quasi-nonexpansive mapping with a demiclosedness property in a
Ming Tian, Mengying Tong
doaj   +1 more source

Stochastic Newton Proximal Extragradient Method

Advances in Neural Information Processing Systems 37
Stochastic second-order methods achieve fast local convergence in strongly convex optimization by using noisy Hessian estimates to precondition the gradient. However, these methods typically reach superlinear convergence only when the stochastic Hessian noise diminishes, increasing per-iteration costs over time.
Ruichen Jiang, Michal Derezinski, Aryan Mokhtari   +2 more
openaire   +3 more sources

The Mann-Type Extragradient Iterative Algorithms with Regularization for Solving Variational Inequality Problems, Split Feasibility, and Fixed Point Problems

Abstract and Applied Analysis, 2013
The purpose of this paper is to introduce and analyze the Mann-type extragradient iterative algorithms with regularization for finding a common element of the solution set Ξ of a general system of variational inequalities, the solution set Γ of a split ...
Lu-Chuan Ceng, Himanshu Gupta, Ching-Feng Wen   +2 more
doaj   +1 more source

Modified Inertial-Type Subgradient Extragradient Methods for Variational Inequalities and Fixed Points of Finite Bregman Relatively Nonexpansive and Demicontractive Mappings

Axioms, 2023
In this paper, we design two inertial-type subgradient extragradient algorithms with the linear-search process for resolving the two pseudomonotone variational inequality problems (VIPs) of and the common fixed point problem (CFPP) of finite Bregman ...
Cong-Shan Wang, Lu-Chuan Ceng, Bing Li, Sheng-Long Cao, Hui-Ying Hu, Yun-Shui Liang   +5 more
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Strong Convergence Algorithms Involving Two Iterative Sequences for Solving Common Fixed Point Problems With an Application

Journal of Mathematics, Volume 2026, Issue 1, 2026.
The goal of this study is dedicated to the research on the fixed point iterative algorithm for solving the common fixed point problems in Hilbert spaces. In this study, we first propose the hybrid and shrinking projection algorithms of two different nonexpansive mappings for a class of algorithms with two iterative sequences to solve the common fixed ...
Shengquan Weng, Hongying Xiao, Ching-Feng Wen   +2 more
wiley   +1 more source

An Inertial Subgradient Extragradient Method for Efficiently Solving Fixed-Point and Equilibrium Problems in Infinite Families of Demimetric Mappings

Mathematics
The primary objective of this article is to enhance the convergence rate of the extragradient method through the careful selection of inertial parameters and the design of a self-adaptive stepsize scheme.
Habib ur Rehman, Fouzia Amir, Jehad Alzabut, Mohammad Athar Azim   +3 more
doaj   +1 more source