A fixed point theorem for mappings with an F-contractive iterate

Open Access

Original research article

Author(s):

Ali Öztürk

Department of Mathematics, Bolu Abant Izzet Baysal University, 14030, Bolu, Turkey

Advances in the Theory of Nonlinear Analysis and its Applications 3(4), 231-236.

Received: November 1, 2019

Accepted: November 12, 2019

Published: November 22, 2019

Abstract

In this paper, we introduce the notion of F-contraction in the setting of a complete metric space and establish a fixed point theorem for F-contractive iteration.

Keywords: F-contraction, fixed point, complete metric space, contractive iteration.

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APA Style

Öztürk, A. (2019). A fixed point theorem for mappings with an F-contractive iterate. Advances in the Theory of Nonlinear Analysis and its Application, 3(4), 231-236.