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Dergiler / Proceedings of International Mathematical Sciences / 2026 / Volume: 6 Issue: 1

Fixed Point Theorems for Contravariant Maps in Bipolar b-Metric Spaces with Integration Application

Shaban Sedghi(Azad University, Qaemshahr)0000-0003-0717-9229
Merryam Sımkha(Islamic Azad University)
Utku Gürdal(BURDUR MEHMET AKİF ERSOY ÜNİVERSİTESİ)0000-0003-2887-2188
Ali Mutlu(Manisa Celel Bayar)0000-0003-0008-2432
Sayfa
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Yayın Tarihi
2024-06-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

An example is provided to demonstrate the presented results.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:As a natural extension of the metric and the bipolar metric, this article introduces the new abstract bipolar $b-$ metric.
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Temel Bulgular & Veri: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.
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Sonuç & Katkı:An example is provided to demonstrate the presented results.
🔬Tür:Research Article
📍Kapsam:2016 Verileri
⚙️Değişkenler:bipolar b−metric space. · complete b−metric space · Fixed point theory

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.

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Bu Makaleye Atıf Yap

Sedghi, S., Sımkha, M., Gürdal, U., Mutlu, A. (2024). Fixed Point Theorems for Contravariant Maps in Bipolar b-Metric Spaces with Integration Application. Proceedings of International Mathematical Sciences, Volume: 6 Issue: 1. https://doi.org/10.47086/pims.1442731

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Kaynakça (18)

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