Results 51 to 60 of about 290 (158)

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 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

On a General Extragradient Implicit Method and Its Applications to Optimization [PDF]

Symmetry, 2020
Let X be a Banach space with both q-uniformly smooth and uniformly convex structures. This article introduces and considers a general extragradient implicit method for solving a general system of variational inequalities (GSVI) with the constraints of a common fixed point problem (CFPP) of a countable family of nonlinear mappings { S n } n = 0
Ceng, Lu-Chuan, Yuan, Qing
openaire   +2 more sources

Enhancing logit stochastic user equilibrium convergence in large‐scale networks via Barzilai–Borwein step size optimization

Computer-Aided Civil and Infrastructure Engineering, Volume 40, Issue 30, Page 5908-5926, 19 December 2025.
Abstract Traffic assignment serves as an important component in modeling flow distribution across infrastructure networks and supporting intelligent traffic management and urban planning. Fast algorithms for solving the stochastic user equilibrium (SUE) model are essential for enhancing computational performance and scalability of traffic assignment ...
Zelin Wang, Yicheng Zhang, Yuting Ding, Qian Liu, Chengqi Liu, Qixiu Cheng   +5 more
wiley   +1 more source

An inertial‐like Tseng's extragradient method for solving pseudomonotone variational inequalities in reflexive Banach spaces

Mathematical Methods in the Applied Sciences, Volume 47, Issue 12, Page 9637-9668, August 2024.
A survey of the existing results in the literature shows that several of the results on variational inequality problem were established under some stringent conditions and employed some form of linesearch technique even in the framework of Hilbert spaces. However, due to the loop nature of the linesearch technique, the implementation of such algorithms
Oluwatosin T. Mewomo, Timilehin O. Alakoya, Amara Eze, Olaniyi S. Iyiola   +3 more
wiley   +1 more source

An Extragradient Method for Fixed Point Problems and Variational Inequality Problems

Journal of Inequalities and Applications, 2007
We present an extragradient method for fixed point problems and variational inequality problems. Using this method, we can find the common element of the set of fixed points of a nonexpansive mapping and the set of solutions of the variational inequality
Yonghong Yao, Jen-Chih Yao, Yeong-Cheng Liou   +2 more
doaj   +2 more sources

Implicit Relaxed and Hybrid Methods with Regularization for Minimization Problems and Asymptotically Strict Pseudocontractive Mappings in the Intermediate Sense

Abstract and Applied Analysis, 2013
We first introduce an implicit relaxed method with regularization for finding a common element of the set of fixed points of an asymptotically strict pseudocontractive mapping S in the intermediate sense and the set of solutions of the minimization ...
Lu-Chuan Ceng, Qamrul Hasan Ansari, Ching-Feng Wen   +2 more
doaj   +1 more source

A Neural Network Based on a Nonsmooth Equation for a Box Constrained Variational Inequality Problem

Journal of Mathematics, Volume 2024, Issue 1, 2024.
The variational inequality framework holds significant prominence across various domains including economic finance, network transportation, and game theory. In addition, a novel approach utilizing a neural network model is introduced in the current work to address a box constrained variational inequality problem.
Yanan Wang, Shuang Lin, Jie Zhang, Chen Qiu, B. B. Upadhyay   +4 more
wiley   +1 more source

Extension of Extragradient Techniques for Variational Inequalities

Mathematics, 2019
An extragradient type method for finding the common solutions of two variational inequalities has been proposed. The convergence result of the algorithm is given under mild conditions on the algorithm parameters.
Yonghong Yao, Ke Wang, Xiaowei Qin, Li-Jun Zhu   +3 more
doaj   +1 more source

Subgradient Extragradient Method for Finite Lipschitzian Demicontractions and Variational Inequality Problems in a Hilbert Space

Journal of Mathematics, Volume 2024, Issue 1, 2024.
In this research, the modified subgradient extragradient method and K‐mapping generated by a finite family of finite Lipschitzian demicontractions are introduced. Then, a strong convergence theorem for finding a common element of the common fixed point set of finite Lipschitzian demicontraction mappings and the common solution set of variational ...
Sarawut Suwannaut, Erhan Güler
wiley   +1 more source