Results 61 to 70 of about 142 (116)

A subgradient extragradient algorithm for solving monotone variational inequalities in Banach spaces

Journal of Inequalities and Applications, 2020
In this paper, we introduce an algorithm for solving classical variational inequalities problem with Lipschitz continuous and monotone mapping in Banach space. We modify the subgradient extragradient methods with a new and simple iterative step size, the
Fei Ma
doaj   +1 more source

Accelerated Hybrid Subgradient Extragradient Methods for Solving Bilevel Split Quasimonotone Variational Inequality Problems

Journal of Optimization, Differential Equations and Their Applications
In this paper, we introduce and study a modified inertial subgradient extragradient iterative algorithm for solving bilevel split quasimonotone variational inequality problems with a fixed point constraint of demimetric mappings in the framework of real ...
J. A. Abuchu, G. C. Ugwunnadi, V. Darvish, O. K. Narain, M. Muslikh   +4 more
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A new inertial condition on the subgradient extragradient method for solving pseudomonotone equilibrium problem

Communications in Nonlinear Science and Numerical Simulation
In this paper we study the pseudomonotone equilibrium problem. We consider a new inertial condition for the subgradient extragradient method with self-adaptive step size for approximating a solution of the equilibrium problem in a real Hilbert space.
Chinedu Izuchukwu, Grace Nnennaya Ogwo, Bertin Zinsou   +2 more
openaire   +3 more sources

A Hybrid Projection Extragradient Method for Variational Inequality and Hierarchical Fixed-Point Problems

Mathematics
This study proposes a new strongly convergent iterative framework obtained by combining a Krasnosel’skiǐ–Mann type subgradient extragradient process with a hybrid projection strategy and an inertial extrapolation mechanism.
Rehan Ali, Monairah Alansari, Mohammad Farid   +2 more
doaj   +1 more source

A golden ratio technique for equilibrium problem in reflexive Banach spaces

Demonstratio Mathematica
In this article, we present a self-adaptive subgradient extragradient method for approximating solutions of equilibrium problems with pseudomonotone and Lipschitz type bifunctions in the context of reflexive Banach spaces.
Abass Hammed A., Adamu Abubakar, Oyewole Olawale K., Aphane Maggie   +3 more
doaj   +1 more source

Inertial-Like Subgradient Extragradient Methods for Variational Inequalities and Fixed Points of Asymptotically Nonexpansive and Strictly Pseudocontractive Mappings

Mathematics, 2019
Let VIP indicate the variational inequality problem with Lipschitzian and pseudomonotone operator and let CFPP denote the common fixed-point problem of an asymptotically nonexpansive mapping and a strictly pseudocontractive mapping in a real Hilbert ...
Lu-Chuan Ceng, Adrian Petruşel, Ching-Feng Wen, Jen-Chih Yao   +3 more
doaj   +1 more source

A Double-Inertial Two-Subgradient Extragradient Algorithm for Solving Variational Inequalities with Minimum-Norm Solutions

Mathematics
Variational inequality problems (VIPs) provide a versatile framework for modeling a wide range of real-world applications, including those in economics, engineering, transportation, and image processing.
Ioannis K. Argyros, Fouzia Amir, Habib ur Rehman, Christopher Argyros   +3 more
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A Modified Inertial Subgradient Extragradient Method for Solving Pseudomonotone Equilibrium Problem

International Journal of Analysis and Applications
In this paper, we introduce and study a new modified inertial subgradient extragradient method that includes a self-adaptive step size and viscosity technique for approximating the solution of pseudomonotone equilibrium and fixed point problems in the framework of real Hilbert space.
O. Joseph, C.F. Igiri, A. E. Ofem, A. A. Mebawondu, A. Maharaj, O. K. Narain   +5 more
openaire   +1 more source

A novel iterative algorithm for solving a class of variational inequality problems: revisions to ‘On the intermixed method for mixed variational inequality problems: another look and some corrections’

Journal of Inequalities and Applications
In this paper, we investigate the combination of mixed variational inequality problems and propose a novel algorithm that integrates the subgradient extragradient method with the Krasnoselskii-Mann-type method.
Wongvisarut Khuangsatung, Atid Kangtunyakarn   +1 more
doaj   +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