Results 21 to 30 of about 13,235,971 (148)

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

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

A Parallel-Viscosity-Type Subgradient Extragradient-Line Method for Finding the Common Solution of Variational Inequality Problems Applied to Image Restoration Problems

Mathematics, 2020
In this paper, we study a modified viscosity type subgradient extragradient-line method with a parallel monotone hybrid algorithm for approximating a common solution of variational inequality problems.
Suthep Suantai, Pronpat Peeyada, Damrongsak Yambangwai, Watcharaporn Cholamjiak   +3 more
doaj   +2 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

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

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

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   +4 more sources

Extragradient subgradient methods for solving bilevel equilibrium problems. [PDF]

J Inequal Appl, 2018
In this paper, we propose two algorithms for finding the solution of a bilevel equilibrium problem in a real Hilbert space. Under some sufficient assumptions on the bifunctions involving pseudomonotone and Lipschitz-type conditions, we obtain the strong convergence of the iterative sequence generated by the first algorithm.
Yuying T, Dinh BV, Kim DS, Plubtieng S.
europepmc   +6 more sources

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

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
doaj   +2 more sources