Journal of Prime Research in Mathematics

# 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

### 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.