关于I. Meghea和C. S. Stamin对《极小点定理和Ekeland变分原理的若干变体及其应用的评述》,《数学演示》,2022;55岁:354 - 379

IF 2 3区 数学 Q1 MATHEMATICS
Alfred Göpfert, Christiane Tammer, Constantin Zălinescu
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引用次数: 0

摘要

得知我们的一篇文章在标题中提到的论文中被引用,我们下载了它,我们惊讶地发现,实际上,我们论文中的所有结果都在Meghea和Stamin文章的第三节中被复制了。考虑到文章的标题,人们很容易认为论文中提到的评论是原创的,并且给出了在哪里以及如何(至少)有效应用一些审查结果的例子。不幸的是,仔细看一下就会发现,第3节中的大多数注释实际上都是从我们的文章中摘录的,并且没有显示如何在某个应用程序中使用特定的结果。因此,我们在本笔记中的目的是讨论Meghea和Stamin论文第3节的内容,强调他们的注释8,其中断言我们文章中引理7的证明“充满了错误”。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
On I. Meghea and C. S. Stamin review article “Remarks on some variants of minimal point theorem and Ekeland variational principle with applications,” Demonstratio Mathematica 2022; 55: 354–379
Abstract Being informed that one of our articles is cited in the paper mentioned in the title, we downloaded it, and we were surprised to see that, practically, all the results from our paper were reproduced in Section 3 of Meghea and Stamin’s article. Having in view the title of the article, one is tempted to think that the remarks mentioned in the paper are original and there are examples given as to where and how (at least) some of the reviewed results are effectively applied. Unfortunately, a closer look shows that most of those remarks in Section 3 are, in fact, extracted from our article, and it is not shown how a specific result is used in a certain application. So, our aim in the present note is to discuss the content of Section 3 of Meghea and Stamin’s paper, emphasizing their Remark 8, in which it is asserted that the proof of Lemma 7 in our article is “full of errors.”
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来源期刊
CiteScore
2.40
自引率
5.00%
发文量
37
审稿时长
35 weeks
期刊介绍: Demonstratio Mathematica publishes original and significant research on topics related to functional analysis and approximation theory. Please note that submissions related to other areas of mathematical research will no longer be accepted by the journal. The potential topics include (but are not limited to): -Approximation theory and iteration methods- Fixed point theory and methods of computing fixed points- Functional, ordinary and partial differential equations- Nonsmooth analysis, variational analysis and convex analysis- Optimization theory, variational inequalities and complementarity problems- For more detailed list of the potential topics please refer to Instruction for Authors. The journal considers submissions of different types of articles. "Research Articles" are focused on fundamental theoretical aspects, as well as on significant applications in science, engineering etc. “Rapid Communications” are intended to present information of exceptional novelty and exciting results of significant interest to the readers. “Review articles” and “Commentaries”, which present the existing literature on the specific topic from new perspectives, are welcome as well.
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