{"title":"A common fixed point result for multi-valued mappings in Hausdorff modular fuzzy b-metric spaces with application to integral inclusions","authors":"Noureddine Makran, O. Hammouti, S. Taarabti","doi":"10.1515/anly-2023-0081","DOIUrl":null,"url":null,"abstract":"\n The modular fuzzy b-metric space is defined in this study, and we are interested in proving a general common fixed point theorem for a pair of multi-valued mappings in Hausdorff modular fuzzy b-metric spaces. The work generalizes the findings in [H. Kerim, W. Shatanawi, A. Tallafha and T. A. M. Shatnawi,\nFixed point theorems on modular fuzzy metric spaces,\nPolitehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 84 2022, 1, 47–58] and produce additional specific findings that are supported by examples. An application to prove the existence of an integral inclusion equation’s solution is shown to demonstrate the importance of our result.","PeriodicalId":1,"journal":{"name":"Accounts of Chemical Research","volume":"29 1","pages":""},"PeriodicalIF":17.7000,"publicationDate":"2024-05-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Accounts of Chemical Research","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/anly-2023-0081","RegionNum":1,"RegionCategory":"化学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"CHEMISTRY, MULTIDISCIPLINARY","Score":null,"Total":0}
引用次数: 0
Abstract
The modular fuzzy b-metric space is defined in this study, and we are interested in proving a general common fixed point theorem for a pair of multi-valued mappings in Hausdorff modular fuzzy b-metric spaces. The work generalizes the findings in [H. Kerim, W. Shatanawi, A. Tallafha and T. A. M. Shatnawi,
Fixed point theorems on modular fuzzy metric spaces,
Politehn. Univ. Bucharest Sci. Bull. Ser. A Appl. Math. Phys. 84 2022, 1, 47–58] and produce additional specific findings that are supported by examples. An application to prove the existence of an integral inclusion equation’s solution is shown to demonstrate the importance of our result.
本研究定义了模块模糊 b-metric空间，我们有兴趣证明 Hausdorff 模块模糊 b-metric空间中一对多值映射的一般公共定点定理。这项工作概括了 [H. Kerim, W. Shathema] 中的发现。Kerim, W. Shatanawi, A. Tallafha and T. A. M. Shatnawi,Fixed point theorems on modular fuzzy metric spaces,Politehn.Univ. Bucharest Sci.A Appl.84 2022, 1, 47-58]，并通过实例得出更多具体结论。通过证明积分包容方程解的存在性的应用，证明了我们结果的重要性。
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.
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