Generalized fixed points for fuzzy and nonfuzzy mappings in strong b-metric spaces

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-02-14 DOI:10.1186/s13660-024-03101-9

Shazia Kanwal, Hüseyin Işık, Sana Waheed

引用次数: 0

Abstract

The main purpose of this research article is to generalize Kannan-type fixed-point (FP) theorems for single-valued mappings and Chatterjea-type FP result for fuzzy mappings (FMs) in the context of complete strong b-metric spaces (MSs). Moreover, fuzzy FPs are established for Suzuki-type fuzzy contraction in the setting of complete strong b-MSs. The conclusions are supported by nontrivial examples to enhance the validity of the results obtained in this study. In addition, previous findings have been made as corollaries from the relevant literature. The numerous implications that this technique has across the literature improve and integrate our findings. Applications of some of the results obtained are also incorporated.

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强 b 矩空间中模糊和非模糊映射的广义定点

本文的主要目的是在完全强 b-度量空间（MSs）的背景下，推广单值映射的 Kannan 型定点（FP）定理和模糊映射（FMs）的 Chatterjea 型定点结果。此外，在完全强 b-MS 的背景下，还为铃木型模糊收缩建立了模糊 FP。这些结论得到了非难例的支持，从而增强了本研究结果的有效性。此外，相关文献还对之前的结论进行了推论。这项技术对文献的诸多影响完善并整合了我们的研究结果。本研究还纳入了部分结果的应用。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Accounts of Chemical Research 化学-化学综合

CiteScore

31.40

自引率

1.10%

发文量

312

审稿时长

2 months

期刊介绍： Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.