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Dergiler / Proceedings of International Mathematical Sciences / 2026 / Volume: 7 Issue: 1

Two fixed point results on b-metric space

İshak Altun(KIRIKKALE UNIVERSITY)0000-0002-7967-0554
Dildar Gülsemih Akekin(KIRIKKALE UNIVERSITY)0000-0002-8878-4086
Sayfa
—
Yayın Tarihi
2025-06-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

First, we obtain a general result, which includes many fixed point theorems on $b$-metric space in the literature as a special case, by using implicit relation technique, Then, we define the concept of nearly Lipschitzian mapping in $b$-metric spaces, and we obtain a fixed point theorem for such mappings.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we present two fixed point theorems on $b$-metric spaces.
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Temel Bulgular & Veri:In this paper, we present two fixed point theorems on $b$-metric spaces.
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Sonuç & Katkı:First, we obtain a general result, which includes many fixed point theorems on $b$-metric space in the literature as a special case, by using implicit relation technique, Then, we define the concept of nearly Lipschitzian mapping in $b$-metric spaces, and we obtain a fixed point theorem for such mappings.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Fixed point · $b$-metric space · implicit relation

Abstract

In this paper, we present two fixed point theorems on $b$-metric spaces. First, we obtain a general result, which includes many fixed point theorems on $b$-metric space in the literature as a special case, by using implicit relation technique, Then, we define the concept of nearly Lipschitzian mapping in $b$-metric spaces, and we obtain a fixed point theorem for such mappings.

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Bu Makaleye Atıf Yap

Altun, İ., Akekin, D. G. (2025). Two fixed point results on b-metric space. Proceedings of International Mathematical Sciences, Volume: 7 Issue: 1. https://doi.org/10.47086/pims.1616181

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Kaynakça (13)

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