Published July 27, 2023 | Version v1
Publication Open

Completeness Problem via Fixed Point Theory

Creators

  • 1. University of Education
  • 2. University of Okara
  • 3. Government College University, Lahore
  • 4. Bandırma Onyedi Eylül University

Description

Abstract The purpose of this paper is to present the notion of MR-Kannan type contractions using the generalized averaged operator. Several examples are provided to illustrate the concept presented herein. We provide a characterisation of normed spaces using MR-Kannan type contractions with a fixed point. We investigate the Ulam–Hyers stability and well-posedness result for the mappings presented here.

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

Translated Description (Arabic)

الملخص الغرض من هذه الورقة هو تقديم فكرة تقلصات نوع MR - Kannan باستخدام المشغل المتوسط المعمم. يتم تقديم العديد من الأمثلة لتوضيح المفهوم المعروض هنا. نحن نقدم توصيفًا للمساحات المعيارية باستخدام تقلصات نوع MR - Kannan بنقطة ثابتة. نقوم بالتحقيق في نتيجة استقرار Ulam - Hyers ووضعها الجيد للمخططات المعروضة هنا.

Translated Description (French)

Résumé Le but de cet article est de présenter la notion de contractions de type MR-Kannan à l'aide de l'opérateur moyenné généralisé. Plusieurs exemples sont fournis pour illustrer le concept présenté ici. Nous fournissons une caractérisation des espaces normés en utilisant des contractions de type MR-Kannan avec un point fixe. Nous étudions le résultat de stabilité et de bonne posture d'Ulam-Hyers pour les mappages présentés ici.

Translated Description (Spanish)

Resumen El propósito de este artículo es presentar la noción de contracciones de tipo MR-Kannan utilizando el operador promediado generalizado. Se proporcionan varios ejemplos para ilustrar el concepto presentado en la presente. Proporcionamos una caracterización de espacios normalizados utilizando contracciones de tipo MR-Kannan con un punto fijo. Investigamos el resultado de estabilidad y buena posición de Ulam-Hyers para los mapeos presentados aquí.

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Additional details

Additional titles

Translated title (Arabic)
مشكلة الاكتمال عبر نظرية النقطة الثابتة
Translated title (French)
Problème d'exhaustivité via la théorie des points fixes
Translated title (Spanish)
Problema de integridad a través de la teoría del punto fijo

Identifiers

Other
https://openalex.org/W4385305683
DOI
10.1007/s11785-023-01385-1

Is supplement to
https://openalex.org/W4249977926 (Other)
https://openalex.org/W4244119288 (Other)
https://openalex.org/W3123504591 (Other)
https://openalex.org/W2985828462 (Other)
https://openalex.org/W2846516035 (Other)
https://openalex.org/W2585118952 (Other)
https://openalex.org/W2369544116 (Other)
https://openalex.org/W2354765335 (Other)
https://openalex.org/W2012141574 (Other)
https://openalex.org/W1691643469 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Pakistan

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