Published January 1, 2023 | Version v1
Publication Open

Uniqueness solution for bounded <i>n</i>-linear functional using generalized nonexpansive type

  • 1. Taiz University
  • 2. Saveetha University
  • 3. Middle East University
  • 4. Hamedan University of Technology
  • 5. Islamic Azad University, Tehran
  • 6. Dr. Babasaheb Ambedkar Marathwada University

Description

Abstract Using the class of ( μ , σ ) \left(\mu ,\sigma ) -nonexpansive mappings, we will effectively prove the uniqueness of the approximative fixed points set for equivalent n n -linear functional spaces F {\mathscr{F}} , where F {\mathscr{F}} is nonempty and identical in every bounded case in n n -Banach space.

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

Translated Description (Arabic)

الملخص باستخدام فئة التعيينات غير الموسعة ( μ , σ )\ left (\ mu ,\sigma )، سنثبت بشكل فعال تفرد النقاط الثابتة التقريبية المحددة للمساحات الوظيفية المكافئة n n الخطية F {\ mathscr {F}} ، حيث F {\ mathscr {F}} غير فارغة ومتطابقة في كل حالة محددة في مساحة n n - Banach.

Translated Description (French)

Résumé En utilisant la classe de ( μ , σ ) \left(\mu ,\sigma ) -nonexpansive mappings, nous prouverons efficacement l'unicité des points fixes approximatifs définis pour les espaces fonctionnels linéaires équivalents n n F {\mathscr{F}} , où F {\mathscr{F}} est non vide et identique dans chaque cas borné dans l'espace de Banach n n.

Translated Description (Spanish)

Resumen Utilizando la clase de mapeos ( μ , σ ) \left(\mu ,\sigma ) -nonexpansivos, demostraremos de manera efectiva la singularidad de los puntos fijos aproximados establecidos para espacios funcionales n n -lineales equivalentes F {\ mathscr {F}} , donde F {\ mathscr {F}} es no vacío e idéntico en cada caso acotado en el espacio n n -Banach.

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Additional details

Additional titles

Translated title (Arabic)
حل التفرد لوظيفة <i>n -</i> line محدودة باستخدام نوع غير موسع معمم
Translated title (French)
Solution d'unicité pour une fonction <i>n-linéaire</i> bornée à l'aide d'un type non expansif généralisé
Translated title (Spanish)
Solución de singularidad para funcional <i>n</i>-lineal acotado utilizando tipo no expansivo generalizado

Identifiers

Other
https://openalex.org/W4391596316
DOI
10.1515/taa-2023-0108

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Yemen

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