On some alpha-admissible contraction mappings on Branciari b-metric spaces

Open Access

Original research article

Author(s):

Selma Gülyaz Özyurt

Department of Mathematics, Cumhuriyet University, Sivas, Turkey

Advances in the Theory of Nonlinear Analysis and its Applications 1(1), 1-13.

Received: April 30, 2017

Accepted: June 5, 2017

Published: June 19, 2017

Abstract

In this paper, -admissible contraction mappings on Branciari $b$ -metric spaces are defined. Conditions for the existence and uniqueness of fixed points for these mappings are discussed, and related theorems are proved. Various consequences of these theorems are given, and specific examples are presented.

Keywords: Fixed point, Branciari $b$ -metric space, -admissible contraction mappings, $b$ -comparison functions.

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APA Style

Gülyaz-Özyurt, S. (2017). On some alpha-admissible contraction mappings on Branciari b-metric spaces. Advances in the Theory of Nonlinear Analysis and its Application, 1(1), 1-13.