A Modified Extragradient Method for Infinite-Dimensional Variational Inequalities

Article Properties
Journal Category
Science
Mathematics
Refrences
Title Journal Journal Categories Citations Publication Date
The Subgradient Extragradient Method for Solving Variational Inequalities in Hilbert Space Journal of Optimization Theory and Applications
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
 533 2011
WEAK CONVERGENCE THEOREM BY A MODIFIED EXTRAGRADIENT METHOD FOR NONEXPANSIVE MAPPINGS AND MONOTONE MAPPINGS Taiwanese Journal of Mathematics
  • Science: Mathematics
 6 2009
Solution Methods for Pseudomonotone Variational Inequalities Journal of Optimization Theory and Applications
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
 29 2008
Weak Convergence Theorem by an Extragradient Method for Nonexpansive Mappings and Monotone Mappings Journal of Optimization Theory and Applications
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
  • Technology: Engineering (General). Civil engineering (General)
  • Technology: Engineering (General). Civil engineering (General)
 277 2006
10.1007/0-387-24276-7_63 2005
Refrences Analysis
Category Category Repetition
Science: Mathematics8
Technology: Engineering (General). Civil engineering (General)8
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods6
Technology: Manufactures: Production management. Operations management5
The category Science: Mathematics 8 is the most frequently represented among the references in this article. It primarily includes studies from Journal of Optimization Theory and Applications and Taiwanese Journal of Mathematics. The chart below illustrates the number of referenced publications per year.
Refrences used by this article by year
Citations
Title Journal Journal Categories Citations Publication Date
A unified framework for three accelerated extragradient methods and further acceleration for variational inequality problems Soft Computing
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
  • Technology: Mechanical engineering and machinery
  • Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics
  • Science: Mathematics: Instruments and machines: Electronic computers. Computer science
 2023
A refined convergence analysis of Popov's algorithm for pseudo-monotone variational inequalities Optimization
  • Technology: Manufactures: Production management. Operations management
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2023
Strong Convergence of an Inertial Extragradient Method with an Adaptive Nondecreasing Step Size for Solving Variational Inequalities Acta Mathematica Scientia
  • Science: Mathematics
 1 2022
Finite convergence of extragradient-type methods for solving variational inequalities under weak sharp condition

 Computational and Applied Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 2022
Improved subgradient extragradient methods for solving pseudomonotone variational inequalities in Hilbert spaces Applied Numerical Mathematics
  • Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods
  • Science: Mathematics
 5 2021
Citations Analysis
Category Category Repetition
Science: Mathematics14
Technology: Technology (General): Industrial engineering. Management engineering: Applied mathematics. Quantitative methods13
Technology: Manufactures: Production management. Operations management5
Technology: Engineering (General). Civil engineering (General)3
Science: Mathematics: Instruments and machines: Electronic computers. Computer science1
Technology: Mechanical engineering and machinery1
Technology: Electrical engineering. Electronics. Nuclear engineering: Electronics1
The category Science: Mathematics 14 is the most commonly referenced area in studies that cite this article. The first research to cite this article was titled A New Extragradient Method for Strongly Pseudomonotone Variational Inequalities and was published in 2016. The most recent citation comes from a 2023 study titled A refined convergence analysis of Popov's algorithm for pseudo-monotone variational inequalities. This article reached its peak citation in 2018, with 5 citations. It has been cited in 11 different journals, 9% of which are open access. Among related journals, the Optimization cited this research the most, with 4 citations. The chart below illustrates the annual citation trends for this article.
Citations used this article by year