Published January 1, 2014 | Version v1
Publication Open

The Existence and Uniqueness of Coupled Best Proximity Point for Proximally Coupled Contraction in a Complete Ordered Metric Space

Creators

  • 1. Bharathidasan University
  • 2. King Mongkut's University of Technology Thonburi
  • 3. King Mongkut's University of Technology North Bangkok

Description

We prove the existence and uniqueness of coupled best proximity point for mappings satisfying the proximally coupled contraction in a complete ordered metric space. Further, our result provides an extension of a result due to Bhaskar and Lakshmikantham.

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

Translated Description (Arabic)

نثبت وجود وتفرد أفضل نقطة تقارب مقترنة للتخطيطات التي ترضي الانكماش المقترن تقاربيًا في مساحة مترية مرتبة كاملة. علاوة على ذلك، توفر نتيجتنا امتدادًا للنتيجة بسبب باسكار ولاكشميكانثام.

Translated Description (French)

Nous prouvons l'existence et l'unicité du meilleur point de proximité couplé pour les mappages satisfaisant la contraction couplée proximalement dans un espace métrique ordonné complet. De plus, notre résultat fournit une extension d'un résultat dû à Bhaskar et Lakshmikantham.

Translated Description (Spanish)

Demostramos la existencia y la singularidad del mejor punto de proximidad acoplado para mapeos que satisfacen la contracción acoplada proximalmente en un espacio métrico ordenado completo. Además, nuestro resultado proporciona una extensión de un resultado debido a Bhaskar y Lakshmikantham.

Files

274062.pdf.pdf

Files (15.8 kB)

⚠️ Please wait a few minutes before your translated files are ready ⚠️ Note: Some files might be protected thus translations might not work.
Name Size Download all
md5:1dca334000b84890bf8545625fbaecbf
15.8 kB
Preview Download

Additional details

Additional titles

Translated title (Arabic)
وجود وتفرد أفضل نقطة تقارب مقترنة للانكماش المتقارب في مساحة مترية مرتبة كاملة
Translated title (French)
L'existence et le caractère unique du meilleur point de proximité couplé pour la contraction couplée de manière proximale dans un espace métrique ordonné complet
Translated title (Spanish)
La existencia y la singularidad del mejor punto de proximidad acoplado para la contracción acoplada proximalmente en un espacio métrico ordenado completo

Identifiers

Other
https://openalex.org/W2045467581
DOI
10.1155/2014/274062

Is supplement to
https://openalex.org/W75301787 (Other)
https://openalex.org/W3181772324 (Other)
https://openalex.org/W307954469 (Other)
https://openalex.org/W2774520555 (Other)
https://openalex.org/W260130749 (Other)
https://openalex.org/W2384040847 (Other)
https://openalex.org/W2382877128 (Other)
https://openalex.org/W2363508298 (Other)
https://openalex.org/W2090909480 (Other)
https://openalex.org/W1966503202 (Other)

GreSIS Basics Section

Is Global South Knowledge
Yes
Country
Thailand

References

  • https://openalex.org/W1458771408
  • https://openalex.org/W1968577377
  • https://openalex.org/W1969053203
  • https://openalex.org/W1981789359
  • https://openalex.org/W1983724394
  • https://openalex.org/W2006052659
  • https://openalex.org/W2012935116
  • https://openalex.org/W2013945501
  • https://openalex.org/W2018762238
  • https://openalex.org/W2024447019
  • https://openalex.org/W2038519400
  • https://openalex.org/W2038616203
  • https://openalex.org/W2039421611
  • https://openalex.org/W2040106502
  • https://openalex.org/W2048884582
  • https://openalex.org/W2064008630
  • https://openalex.org/W2070361651
  • https://openalex.org/W2071072899
  • https://openalex.org/W2073068725
  • https://openalex.org/W2077012380
  • https://openalex.org/W2078672636
  • https://openalex.org/W2078728868
  • https://openalex.org/W2079054423
  • https://openalex.org/W2080582850
  • https://openalex.org/W2084692626
  • https://openalex.org/W2095141049
  • https://openalex.org/W2103679879
  • https://openalex.org/W2110599284
  • https://openalex.org/W2122440577
  • https://openalex.org/W2135363371
  • https://openalex.org/W2140151765
  • https://openalex.org/W4242708824