Correction on General Convergence Analysis for Two-Step Projection Methods and Applications to Variational Problems

Ayache Benhadid\(^{a,*}\)

\(^a\)Department of Mathematics, Faculty of Mathematics and Computer Science, Batna 2 University, Batna, Algeria.

Correspondence should be addressed to: : benhadidayache@yahoo.fr

Copyright © 2022 Ayache Benhadid. 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.

Published: Received: : 20 March 2021; Accepted: 13 May 2022; Published Online: 7 June 2022.

Abstract

The aim of this study is to illustrate that the main result of the paper [1] is incorrect by giving an counterexample. I also present and study a new algorithm 4.1 to correct the main result of [1]. The possible impact of this study is rather important, it puts a question mark on results in all references that have been cited This publication ( 203 times just in Google Scholar alone).

Keywords:

General two-step model; System of strongly monotonic nonlinear variational inequalities; Projection methods; Convergence of two-step projection methods.