Affiliation:
1. Azad University, Qaemshahr
2. Islamic Azad University
3. BURDUR MEHMET AKİF ERSOY ÜNİVERSİTESİ
4. Manisa Celel Bayar
Abstract
As a natural extension of the metric and the bipolar metric, this article introduces the new abstract bipolar $b-$
metric. The bipolar $b-$metric is a novel technique addressed in this article; it is explained by combining the
well-known $b-$metric in the theory of metric spaces, as defined by Mutlu and G\"{u}rdal (2016) \cite{mg1}, with the
description of the bipolar metric. In this new definition, well-known mathematical terms such as Cauchy and
convergent sequences are utilized. In the bipolar $b-$metric, fundamental topological concepts are also defined to investigate the existence of fixed points implicated in such mappings under different contraction
conditions. An example is provided to demonstrate the presented results.
Funder
This research received no external funding.
Publisher
Proceedings of International Mathematical Sciences
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