Results 21 to 30 of about 202 (128)

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   +2 more sources

Inertial Method for Solving Pseudomonotone Variational Inequality and Fixed Point Problems in Banach Spaces

Axioms, 2023
In this paper, we introduce a new iterative method that combines the inertial subgradient extragradient method and the modified Mann method for solving the pseudomonotone variational inequality problem and the fixed point of quasi-Bregman nonexpansive ...
Rose Maluleka, Godwin Chidi Ugwunnadi, Maggie Aphane   +2 more
doaj   +2 more sources

A Subgradient Extragradient Framework Incorporating a Relaxation and Dual Inertial Technique for Variational Inequalities

Mathematics
This paper presents an enhanced algorithm designed to solve variational inequality problems that involve a pseudomonotone and Lipschitz continuous operator in real Hilbert spaces.
Habib ur Rehman, Kanokwan Sitthithakerngkiet, Thidaporn Seangwattana   +2 more
doaj   +2 more sources

On Strengthened Inertial-Type Subgradient Extragradient Rule with Adaptive Step Sizes for Variational Inequalities and Fixed Points of Asymptotically Nonexpansive Mappings

Mathematics, 2022
In a real Hilbert space, let the VIP denote a pseudomonotone variational inequality problem with Lipschitz continuity operator, and let the CFPP indicate a common fixed-point problem of finitely many nonexpansive mappings and an asymptotically ...
Lu-Chuan Ceng, Ching-Feng Wen, Yeong-Cheng Liou, Jen-Chih Yao   +3 more
doaj   +2 more sources

A new modified subgradient extragradient method for solving variational inequalities

Applicable Analysis, 2019
The goal of the note is to introduce a new modified subgradient extragradient algorithm for solving variational inequalities in Hilbert spaces.
Migórski, Stanisław, Fang, Changjie, Zeng, Shengda   +2 more
openaire   +3 more sources

An Enhanced Subgradient Extragradient Method for Fixed Points of Quasi-Nonexpansive Mappings Without Demi-Closedness

Mathematics
This research focuses on developing a novel approach to finding fixed points of quasi-nonexpansive mappings without relying on the demi-closedness condition, a common requirement in previous studies. The approach is based on the Subgradient Extragradient
Anchalee Sripattanet, Atid Kangtunyakarn
doaj   +2 more sources

A modified subgradient extragradient algorithm-type for solving quasimonotone variational inequality problems with applications

Journal of Inequalities and Applications, 2023
In this article, we introduce an inertial-type algorithm that combines the extragradient subgradient method, the projection contraction method, and the viscosity method.
Austine Efut Ofem, Akindele Adebayo Mebawondu, Godwin Chidi Ugwunnadi, Hüseyin Işık, Ojen Kumar Narain   +4 more
doaj   +2 more sources

Improved subgradient extragradient methods for solving pseudomonotone variational inequalities in Hilbert spaces [PDF]

Applied Numerical Mathematics, 2021
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Viet Thong Duong, Tu Vuong Phan
openaire   +3 more sources

On Mann-Type Subgradient-like Extragradient Method with Linear-Search Process for Hierarchical Variational Inequalities for Asymptotically Nonexpansive Mappings

Mathematics, 2021
We propose two Mann-type subgradient-like extra gradient iterations with the line-search procedure for hierarchical variational inequality (HVI) with the common fixed-point problem (CFPP) constraint of finite family of nonexpansive mappings and an ...
Lu-Chuan Ceng, Jen-Chih Yao, Yekini Shehu   +2 more
doaj   +2 more sources

Inertial Iterative Schemes with Variable Step Sizes for Variational Inequality Problem Involving Pseudomonotone Operator

Mathematics, 2020
Two inertial subgradient extragradient algorithms for solving variational inequality problems involving pseudomonotone operator are proposed in this article.
Jamilu Abubakar, Poom Kumam, Habib ur Rehman, Abdulkarim Hassan Ibrahim   +3 more
doaj   +2 more sources