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On Fuzzy b-Metric-Like Spaces

على المساحات الضبابية الشبيهة بالمتر
Authors: Khalil Javed; Fahim Uddin; Hassen Aydi; Muhammad Arshad; Umar Ishtiaq; Mohd Salmi Md Noorani;

On Fuzzy b-Metric-Like Spaces

Abstract

El objetivo de este manuscrito es introducir el concepto de espacios b-métricos difusos y discutir algunos resultados de puntos fijos relacionados. Se imparten algunos ejemplos para ilustrar la viabilidad de los métodos propuestos. Finalmente, para validar la superioridad de los resultados obtenidos, se proporciona una aplicación para resolver un primer tipo de ecuaciones integrales de tipo Fredholm.

Le but de ce manuscrit est d'introduire le concept d'espaces b-métriques flous et de discuter de certains résultats de points fixes connexes. Quelques exemples sont donnés pour illustrer la faisabilité des méthodes proposées. Enfin, pour valider la supériorité des résultats obtenus, une application est fournie pour résoudre un premier type d'équations intégrales de type Fredholm.

The aim of this manuscript is to introduce the concept of fuzzy b-metric-like spaces and discuss some related fixed point results. Some examples are imparted to illustrate the feasibility of the proposed methods. Finally, to validate the superiority of the obtained results, an application is provided to solve a first kind of Fredholm type integral equations.

الهدف من هذه المخطوطة هو تقديم مفهوم المساحات الشبيهة بـ b - metric الضبابية ومناقشة بعض نتائج النقاط الثابتة ذات الصلة. يتم تقديم بعض الأمثلة لتوضيح جدوى الأساليب المقترحة. أخيرًا، للتحقق من تفوق النتائج التي تم الحصول عليها، يتم تقديم تطبيق لحل النوع الأول من معادلات فريدهولم المتكاملة.

Keywords

Artificial intelligence, Metric (unit), T-norm, Geometry, Metric Spaces, Fixed Point Theorems in Metric Spaces, Engineering, Point (geometry), FOS: Mathematics, Biology, Fuzzy number, Algebra over a field, Ecology, Pure mathematics, Applied mathematics, Computer science, Fuzzy logic, Operations management, FOS: Biological sciences, Physical Sciences, Fuzzy set, Geometry and Topology, Fuzzy Metric Spaces, Metric space, Type (biology), Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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