Revisiting the Kannan Type Contractions via Interpolation

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.

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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.