Published November 1, 2019 | Version v1
Publication Open

Best Proximity Points for Monotone Relatively Nonexpansive Mappings in Ordered Banach Spaces

Creators

  • 1. University of Hassan II Casablanca
  • 2. Sidi Mohamed Ben Abdellah University

Description

In this paper, we give sufficient conditions to ensure the existence of the best proximity point of monotone relatively nonexpansive mappings defined on partially ordered Banach spaces. An example is given to illustrate our results.

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

Translated Description (Arabic)

في هذه الورقة، نقدم شروطًا كافية لضمان وجود أفضل نقطة تقارب للتعيينات الرتيبة غير الموسعة نسبيًا المحددة في مساحات البنك المرتبة جزئيًا. يتم إعطاء مثال لتوضيح نتائجنا.

Translated Description (French)

Dans cet article, nous donnons des conditions suffisantes pour assurer l'existence du meilleur point de proximité des mappages monotones relativement peu expansifs définis sur des espaces de Banach partiellement ordonnés. Un exemple est donné pour illustrer nos résultats.

Translated Description (Spanish)

En este trabajo, damos las condiciones suficientes para asegurar la existencia del mejor punto de proximidad de mapeos monótonos relativamente no expansivos definidos en espacios de Banach parcialmente ordenados. Se da un ejemplo para ilustrar nuestros resultados.

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Additional details

Additional titles

Translated title (Arabic)
أفضل نقاط القرب للمخططات الرتيبة غير التوسعية نسبيًا في مساحات البنك المرتبة
Translated title (French)
Meilleurs points de proximité pour les mappages monotones relativement peu expansifs dans les espaces Banach ordonnés
Translated title (Spanish)
Mejores puntos de proximidad para mapeos monótonos relativamente no expansivos en espacios ordenados de Banach

Identifiers

Other
https://openalex.org/W2983974792
DOI
10.3390/axioms8040121

Is supplement to
https://openalex.org/W4301895170 (Other)
https://openalex.org/W4297789459 (Other)
https://openalex.org/W2963936214 (Other)
https://openalex.org/W2784024314 (Other)
https://openalex.org/W2610026222 (Other)
https://openalex.org/W2363849453 (Other)
https://openalex.org/W2361703941 (Other)
https://openalex.org/W2163760347 (Other)
https://openalex.org/W2152772468 (Other)
https://openalex.org/W2074838282 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Morocco

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