Research Article

Interpolative Kannan- Meir-Keeler type contraction

Volume: 5 Number: 4 December 30, 2021
  • Erdal Karapınar *
EN

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

References

  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.

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Authors

Erdal Karapınar * This is me
Türkiye

Publication Date

December 30, 2021

Submission Date

December 28, 2020

Acceptance Date

August 22, 2021

Published in Issue

Year 2021 Volume: 5 Number: 4

APA
Karapınar, E. (2021). Interpolative Kannan- Meir-Keeler type contraction. Advances in the Theory of Nonlinear Analysis and Its Application, 5(4), 611-614. https://doi.org/10.31197/atnaa.989389
AMA
1.Karapınar E. Interpolative Kannan- Meir-Keeler type contraction. ATNAA. 2021;5(4):611-614. doi:10.31197/atnaa.989389
Chicago
Karapınar, Erdal. 2021. “Interpolative Kannan- Meir-Keeler Type Contraction”. Advances in the Theory of Nonlinear Analysis and Its Application 5 (4): 611-14. https://doi.org/10.31197/atnaa.989389.
EndNote
Karapınar E (December 1, 2021) Interpolative Kannan- Meir-Keeler type contraction. Advances in the Theory of Nonlinear Analysis and its Application 5 4 611–614.
IEEE
[1]E. Karapınar, “Interpolative Kannan- Meir-Keeler type contraction”, ATNAA, vol. 5, no. 4, pp. 611–614, Dec. 2021, doi: 10.31197/atnaa.989389.
ISNAD
Karapınar, Erdal. “Interpolative Kannan- Meir-Keeler Type Contraction”. Advances in the Theory of Nonlinear Analysis and its Application 5/4 (December 1, 2021): 611-614. https://doi.org/10.31197/atnaa.989389.
JAMA
1.Karapınar E. Interpolative Kannan- Meir-Keeler type contraction. ATNAA. 2021;5:611–614.
MLA
Karapınar, Erdal. “Interpolative Kannan- Meir-Keeler Type Contraction”. Advances in the Theory of Nonlinear Analysis and Its Application, vol. 5, no. 4, Dec. 2021, pp. 611-4, doi:10.31197/atnaa.989389.
Vancouver
1.Erdal Karapınar. Interpolative Kannan- Meir-Keeler type contraction. ATNAA. 2021 Dec. 1;5(4):611-4. doi:10.31197/atnaa.989389

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