Revisiting the Kannan Type Contractions via Interpolation

Open Access

Erdal Karapınar

Author(s):

Erdal Karapınar

Department of Mathematics, Atilim University, 06836 Incek, Ankara, Turkey

Advances in the Theory of Nonlinear Analysis and its Applications 2(2), 85-87.

Received: April 20, 2018

Accepted: May 18, 2018

Published: June 8, 2018

Abstract

In this paper, we revisit 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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APA Style

Karapinar, E. (2018). Revisiting the Kannan type contractions via interpolation. Advances in the Theory of Nonlinear Analysis and its Application, 2(2), 85-87.