Erdal KARAPİNAR

Revisiting the Kannan Type Contractions via Interpolation

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,

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[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.

Advances in the Theory of Nonlinear Analysis and its Application-Cover

Başlangıç: 2017
Yayıncı: Erdal KARAPINAR

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