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Year 2018, Volume: 2 Issue: 2, 85 - 87, 30.06.2018

Erdal Karapinar

https://doi.org/10.31197/atnaa.431135
Cited By: 89

Abstract

References

  • [1] R. Kannan, Some results on fixed points. Bull. Calcutta Math. Soc. 60, 71-76 (1968).
  • [2] R. Kannan, Some results on fixed points. II. Am. Math. Mon. 76, 405-408 (1969.

Revisiting the Kannan Type Contractions via Interpolation

Year 2018, Volume: 2 Issue: 2, 85 - 87, 30.06.2018

Erdal Karapinar

https://doi.org/10.31197/atnaa.431135
Cited By: 89

Abstract

In the paper, we revisited the well-known fixed point theorem of Kannan under the aspect of interpolation. By using the interpolation notion, we propose a new Kannan type contraction  to maximize the rate of convergence.

Keywords

Kannan Type Contraction Interpolation fixed point rate of convergence

References

  • [1] R. Kannan, Some results on fixed points. Bull. Calcutta Math. Soc. 60, 71-76 (1968).
  • [2] R. Kannan, Some results on fixed points. II. Am. Math. Mon. 76, 405-408 (1969.
There are 2 citations in total.

Details

Primary Language English
Journal Section Articles
Authors

Erdal Karapinar

Publication Date June 30, 2018
Published in Issue Year 2018 Volume: 2 Issue: 2

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