Iterative method of extragradient type in Hilbert spaces

Fong, Cian S.

doi:10.28919/jmcs/4575

J. Math. Comput. Sci. 10 (2020), 1050–1065

Iterative method of extragradient type in Hilbert spaces

Cian S. Fong

PDF (155.3 KB) https://doi.org/10.28919/jmcs/4575

Abstract

This article is concerned with hybrid implicit extragradient methods for variational inequality problems with constraints of a family of nonexpansive mappings, and a system of variational inequalities. One analyzes the convergence of the hybrid methods and obtains convergence theorems of solutions without the aid of compactness in Hilbert spaces.

Published: 13 April 2020
Volume: 10 (2020)
License: CC BY 3.0

Copyright © 2020 Cian S. Fong. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Cite this article

C. S. Fong, Iterative method of extragradient type in Hilbert spaces, J. Math. Comput. Sci. 10 (2020), 1050–1065. https://doi.org/10.28919/jmcs/4575

BibTeX

@article{Fong2020,
  author  = {Fong, Cian S.},
  title   = {Iterative method of extragradient type in Hilbert spaces},
  journal = {J. Math. Comput. Sci.},
  volume  = {10},
  year    = {2020},
  pages   = {1050--1065},
  doi     = {10.28919/jmcs/4575}
}