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Interpolative Kannan- Meir-Keeler type contraction

Cilt: 5 Sayı: 4 30 Aralık 2021
  • Erdal Karapınar *
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Interpolative Kannan- Meir-Keeler type contraction

Abstract

In this short manuscript, we revisit the renowned contraction’s of Meir-Keeler by involving the interpolation theory in the context of complete metric space. We provide a simple example to illustrate the validity of the observed result

Keywords

Kaynakça

  1. 1] S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fundamenta Mathematicae, 3 (1922), 133–181.
  2. [2] P. Collaço, J. C. Silva, A complete comparison of 25 contraction conditions Nonlinear Analysis: Theory, Methods and Applications Volume 30, Issue 1, December 1997, Pages 471-476
  3. [3] R. Kannan, Some results on fixed points. Bull. Calcutta Math. Soc. 60, 71-76 (1968).
  4. [4] R. Kannan, Some results on fixed points. II. Am. Math. Mon. 76, 405-408 (1969).
  5. [5] E. Karapınar, Revisiting the Kannan type contractions via interpolation, Advances in the Teory of Nonlinear Analysis and Its Application, vol. 2, no. 2, pp. 85–87, 2018.
  6. [6] A. Meir, E. Keeler, A theorem on contraction mappings. J. Math. Anal. Appl. 1969, 28, 326–329.

Ayrıntılar

Birincil Dil

İngilizce

Konular

Matematik

Bölüm

Araştırma Makalesi

Yazarlar

Erdal Karapınar * Bu kişi benim
Türkiye

Yayımlanma Tarihi

30 Aralık 2021

Gönderilme Tarihi

28 Aralık 2020

Kabul Tarihi

22 Ağustos 2021

Yayımlandığı Sayı

Yıl 2021 Cilt: 5 Sayı: 4

Kaynak Göster

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