b-度量空间不动点理论的早期发展:简述及有关的一些重要方面

IF 1.4 4区 数学 Q1 MATHEMATICS Carpathian Journal of Mathematics Pub Date : 2022-07-26 DOI:10.37193/cjm.2022.03.01
V. Berinde, M. Pacurar
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引用次数: 11

摘要

“在过去的二十年里,一项非常令人印象深刻的研究工作致力于获得拟度量空间(也称为b-度量空间)中的不动点定理关于b-度量空间中不动点理论的早期发展,一些不正确和不完整的参考文献虽然一直在从现有的出版物转移到新的出版物。从这个事实出发,本文的主要目的有三个:(1)简要考察拟度量空间(b-metric空间)上不动点理论的早期发展;(2) 收集一些与本主题相关的参考书目;(3) 讨论当前对拟度量空间(b-metric空间)上的不动点理论感兴趣的其他方面。“
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"The early developments in fixed point theory on b-metric spaces: a brief survey and some important related aspects"
"A very impressive research work has been devoted in the last two decades to obtaining fixed point theorems in quasimetric spaces (also called b-metric spaces). Some incorrect and incomplete references with respect to the early developments on fixed point theory in b-metric spaces are though perpetually taking over from the existing publications to the new ones. Starting from this fact, our main aim in this note is threefold: (1) to briefly survey the early developments in the fixed point theory on quasimetric spaces (b-metric spaces); (2) to collect some relevant bibliography related to this topic; (3) to discuss some other aspects of current interest in the fixed point theory on quasimetric spaces (b-metric spaces)."
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来源期刊
Carpathian Journal of Mathematics
Carpathian Journal of Mathematics MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
2.40
自引率
7.10%
发文量
21
审稿时长
>12 weeks
期刊介绍: Carpathian Journal of Mathematics publishes high quality original research papers and survey articles in all areas of pure and applied mathematics. It will also occasionally publish, as special issues, proceedings of international conferences, generally (co)-organized by the Department of Mathematics and Computer Science, North University Center at Baia Mare. There is no fee for the published papers but the journal offers an Open Access Option to interested contributors.
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