Geraghty type contraction mappings on Branciari b-metric spaces

Open Access

Original research article

Author(s):

İnci M. Erhan

Department of Mathematics, Atılım University, Ankara, Turkey

Advances in the Theory of Nonlinear Analysis and its Applications 1(2), 147-160.

Received: August 22, 2017

Accepted: December 9, 2017

Published: December 12, 2017

Abstract

In this paper, fixed points of -admissible contraction mappings of Geraghty type defined on Branciari $b$ -metric spaces are studied. Existence and uniqueness theorems for these types of mappings are proved. Some consequences of these theorems are given, and specific examples are presented.

Keywords: Fixed point, Branciari -metric space, -admissible contraction mappings, Geraghty contraction.

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APA Style

Erhan, I. M. (2017). Geraghty type contraction mappings on Branciari b-metric spaces. Advances in the Theory of Nonlinear Analysis and its Application, 1(2), 147-160.