Published August 6, 2021 | Version v1
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Admissible Hybrid <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi mathvariant="script">Z</mi> </math>-Contractions in Extended <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>b</mi> </math>-Metric Spaces

  • 1. National University of Sciences and Technology
  • 2. University of Sousse
  • 3. China Medical University Hospital
  • 4. China Medical University
  • 5. Sefako Makgatho Health Sciences University
  • 6. Institute of Mathematics and Physics
  • 7. African Institute for Mathematical Sciences

Description

In this paper, we define the notation of admissible hybrid Z -contractions in the setting of extended b -metric spaces, which unifies and generalizes previously existing results in literature. Furthermore, as an application, we discuss Ulam-Hyers stability and well-posedness of a fixed point problem.

⚠️ This is an automatic machine translation with an accuracy of 90-95%

Translated Description (Arabic)

في هذه الورقة، نحدد تدوين الانقباضات الهجينة المقبولة Z في إعداد المسافات البنيوية الموسعة ، والتي توحد وتعمم النتائج الموجودة سابقًا في الأدبيات. علاوة على ذلك، كتطبيق، نناقش استقرار Ulam - Hyers والاستعداد الجيد لمشكلة النقطة الثابتة.

Translated Description (French)

Dans cet article, nous définissons la notation des contractions Z hybrides admissibles dans le cadre d'espaces b -métriques étendus, ce qui unifie et généralise les résultats déjà existants dans la littérature. En outre, en tant qu'application, nous discutons de la stabilité d'Ulam-Hyers et du bien-fondé d'un problème à point fixe.

Translated Description (Spanish)

En este artículo, definimos la notación de las contracciones Z híbridas admisibles en el contexto de espacios b-métricos extendidos, que unifica y generaliza los resultados previamente existentes en la literatura. Además, como aplicación, discutimos la estabilidad de Ulam-Hyers y la buena posición de un problema de punto fijo.

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Additional details

Additional titles

Translated title (Arabic)
العقود الهجينة المقبولة <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi mathvariant="script">Z</mi> </math>في المساحات المترية الموسعة <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>b</mi> </math>
Translated title (French)
Admissible Hybrid <math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi mathvariant="script">Z</mi> </math>-Contractions in Extended <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi>b</mi> </math>-Metric Spaces
Translated title (Spanish)
<math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"> <mi mathvariant="script">Z</mi> </math>Híbrida Admisible -Contracciones en <math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"> <mi></mi> </math>Espacios Extendidos b-Métricos

Identifiers

Other
https://openalex.org/W3188633688
DOI
10.1155/2021/5579577

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Pakistan

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