Novel results for separate families of fuzzy-dominated mappings satisfying advanced locally contractions in b-multiplicative metric spaces with applications

IF 16.4 1区化学 Q1 CHEMISTRY, MULTIDISCIPLINARY

Accounts of Chemical Research Pub Date : 2024-04-16 DOI:10.1186/s13660-024-03115-3

Tahair Rasham, Romana Qadir, Fady Hasan, R. P. Agarwal, Wasfi Shatanawi

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Abstract

The objective of this research is to present new fixed point theorems for two separate families of fuzzy-dominated mappings. These mappings must satisfy a unique locally contraction in a complete b-multiplicative metric space. Also, we have obtained novel results for families of fuzzy-dominated mappings on a closed ball that meet the requirements of a generalized locally contraction. This research introduces new and challenging fixed-point problems for families of ordered fuzzy-dominated mappings in ordered complete b-multiplicative metric spaces. Moreover, we demonstrate a new concept for families of fuzzy graph-dominated mappings on a closed ball in these spaces. Additionally, we present novel findings for graphic contraction endowed with graphic structure. These findings are groundbreaking and provide a strong foundation for future research in this field. To demonstrate the uniqueness of our novel findings, we provide evidence of their applicability in obtaining the common solution of integral and fractional differential equations. Our findings have resulted in modifications to several contemporary and classical results in the research literature. This provides further evidence of the originality and impact of our work.

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b-乘法度量空间中满足高级局部收缩的模糊支配映射独立族的新结果及其应用

本研究的目的是为两个独立的模糊支配映射族提出新的定点定理。这些映射必须在一个完整的 b 倍增度量空间中满足唯一的局部收缩。此外，我们还获得了满足广义局部收缩要求的闭球上模糊支配映射族的新结果。这项研究为有序完全 b 倍增度量空间中的有序模糊支配映射族引入了新的和具有挑战性的定点问题。此外，我们还展示了这些空间中封闭球上的模糊图主导映射族的新概念。此外，我们还提出了具有图形结构的图形收缩的新发现。这些发现具有开创性，为这一领域的未来研究奠定了坚实的基础。为了证明我们的新发现的独特性，我们提供了它们在获得积分和分数微分方程的普通解时的适用性证据。我们的发现修正了研究文献中的一些当代和经典结果。这进一步证明了我们工作的原创性和影响力。

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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.