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

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

Authors: Ayache Benhadid

Journal: Journal of Prime Research in Mathematics

HEC Recognition History
Category From To
Y 2023-07-01 2024-09-30
Y 2022-07-01 2023-06-30
Y 2021-07-01 2022-06-30
Y 2020-07-01 2021-06-30

Publisher: Abdus Salam School of Mathematical Sciences, GC University

Country: Pakistan

Year: 2022

Volume: 18

Issue: 1

Language: English

Keywords: Convergence AnalysisTwo-step projection methodsvariational problems

Categories
Optimization (992) Numerical Analysis (431) Applied Mathematics (727) Mathematics (5170) Convex Analysis (7)

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).

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