Applicable Nonlinear Analysis

Electronic ISSN: 3008-153X

DOI: 10.69829/apna

The extragradient algorithm for variational inequalities with summable errors

Applicable Nonlinear Analysis, Volume 3, Issue 2, August 2026, Pages: 106–113

ALEXANDER J. ZASLAVSKI

Department of Mathematics, The Technion – Israel Institute of Technology, 32000 Haifa, Israel


Abstract

We study, in the setting of a Hilbert space, the behavior of the sequences generated by extragradient methods for solving variational inequalities in the presence of summable computational errors. It is shown that most of iterates are good approximate solutions of variational inequalities.


Cite this Article as

Alexander J. Zaslavski, The extragradient algorithm for variational inequalities with summable errors, Applicable Nonlinear Analysis, 3(2), 106–113, 2026