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Dergiler / Advances in the Theory of Nonlinear Analysis and its Application / 2021 / Cilt: 5 Sayı: 4

Interpolative Kannan- Meir-Keeler type contraction

Erdal Karapınar(CANKAYA UNIVERSITY)
Sayfa
611–614
Yayın Tarihi
2021-12-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

We provide a simple example to illustrate the validity of the observed result

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez: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.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:We provide a simple example to illustrate the validity of the observed result
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Contraction · İnterpolation · Banach 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

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Bu Makaleye Atıf Yap

Karapınar, E. (2021). Interpolative Kannan- Meir-Keeler type contraction. Advances in the Theory of Nonlinear Analysis and its Application, Cilt: 5 Sayı: 4, 611–614. https://doi.org/10.31197/atnaa.989389

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Kaynakça (6)

  1. 1] S. Banach, Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales, Fundamenta Mathematicae, 3 (1922), 133–181.
  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. R. Kannan, Some results on fixed points. Bull. Calcutta Math. Soc. 60, 71-76 (1968).
  4. R. Kannan, Some results on fixed points. II. Am. Math. Mon. 76, 405-408 (1969).
  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. A. Meir, E. Keeler, A theorem on contraction mappings. J. Math. Anal. Appl. 1969, 28, 326–329.