Interpolative Kannan-Meir-Keeler type contraction – Advances in the theory of nonlinear analysis and its applications

Open Access

Original research article

Interpolative Kannan- Meir-Keeler type contraction

Author(s):

Erdal Karapınar

Faculty of Fundamental Science, Industrial University of Ho Chi Minh City, Ho Chi Minh, Vietnam

Department of Mathematics, Çankaya University, 06790, Etimesgut, Ankara, Turkey

Advances in the Theory of Nonlinear Analysis and its Applications 5 (4), 611-614.

Received: December 28, 2020

Accepted: August 22, 2021

Published: September 1, 2021

Abstract

In this short manuscript, we revisit the renowned contraction of Meir–Keeler by involving interpolation theory in the context of a complete metric space. We provide a simple example to illustrate the validity of the observed result.

Keywords: Kannan type contraction, Interpolation, Fixed point, Meir–Keeler contraction.

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APA Style

Karapınar, E. (2021). Interpolative Kannan-Meir-Keeler type contraction. Advances in the Theory of Nonlinear Analysis and its Application , 5 (4), 611-614.