Revisiting the Kannan Type Contractions via Interpolation

Revisiting the Kannan Type Contractions via Interpolation

Authors

  • Erdal KARAPİNAR*

Keywords:

Kannan Type Contraction, Interpolation, fixed point, rate of convergence

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.

 

 

References

R. Kannan, Some results on fixed points. Bull. Calcutta Math. Soc. 60, 71-76 (1968).

R. Kannan, Some results on fixed points. II. Am. Math. Mon. 76, 405-408 (1969.

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Published

2018-12-31

Issue

Vol. 2 No. 2 (2018)

Section

Articles

How to Cite

Revisiting the Kannan Type Contractions via Interpolation. (2018). Advances in the Theory of Nonlinear Analysis and Its Application, 2(2), 85-87. https://www.atnaea.org/index.php/journal/article/view/28