强 b 矩空间中模糊和非模糊映射的广义定点

IF 1.5 3区数学 Q1 MATHEMATICS

Journal of Inequalities and Applications Pub Date : 2024-02-14 DOI:10.1186/s13660-024-03101-9

Shazia Kanwal, Hüseyin Işık, Sana Waheed

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引用次数: 0

摘要

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。

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

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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来源期刊

Journal of Inequalities and Applications 数学-数学

自引率

6.20%

发文量

136

期刊介绍： The aim of this journal is to provide a multi-disciplinary forum of discussion in mathematics and its applications in which the essentiality of inequalities is highlighted. This Journal accepts high quality articles containing original research results and survey articles of exceptional merit. Subject matters should be strongly related to inequalities, such as, but not restricted to, the following: inequalities in analysis, inequalities in approximation theory, inequalities in combinatorics, inequalities in economics, inequalities in geometry, inequalities in mechanics, inequalities in optimization, inequalities in stochastic analysis and applications.