Results 51 to 60 of about 683 (180)

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.
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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
doaj   +1 more source

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

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

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

An Inertial Three‐Term Conjugate Gradient Projection Method With Applications

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This paper introduces a robust inertial three‐term projection method for solving monotone nonlinear equations. The proposed approach extends existing nonlinear conjugate gradient (CG) methods for unconstrained optimization with inexact line search by incorporating an inertial mechanism and a redesigned three‐term search direction to enhance numerical ...
Muhammad Abdullahi, Mohammed A. Saleh, Seyed Yaser Mousavi Siamakani, Abdulgader Z. Almaymuni, Auwal Bala Abubakar, Abubakar Sani Halilu, Sulaiman M. Ibrahim, Predrag S. Stanimirović   +7 more
wiley   +1 more source

A New Iterative Method for Solving General Mixed Variational Inequalities [PDF]

, 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  

A New Resolvent‐Based Method for Solving Generalized Variational Inclusions and Its Application to Image Deblurring

Journal of Mathematics, Volume 2026, Issue 1, 2026.
This research develops a computational framework utilizing viscosity extragradient iterations to simultaneously solve split monotone variational inclusion, variational inequality, and fixed‐point problems. The methodology handles finite collections of ϵ‐strict pseudocontractive operators and nonexpansive mappings within Hilbert space settings ...
Ghada AlNemer, Mohammad Farid, Rehan Ali, Smritijit Sen   +3 more
wiley   +1 more source

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

, 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
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