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Journals / Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi / 2020 / Cilt: 13 - Sayı: Özel Sayı - 1

Common Fixed Point Results for a Class of (𝜶,𝜷) −Geraghty Contraction Type Mappings in Modular Metric Spaces

Merve Aktay
Murat Özdemir
Pages
150–161
Publication Date
2022-11-06
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Consequently, the obtained results encompass various generalizations of the Banach contraction principle.

📌 3 Key Takeaways

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Objective & Hypothesis:In this paper, we introduce concepts of generalized (𝛼, 𝛽) − Geraghty contraction type mappings in modular metric spaces via (𝛼, 𝛽) − admissible pair in modular metric spaces are essentially weaker than the class of 𝛼 − Geraghty contraction type mappings.
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Key Findings & Data:We establish some fixed point and periodic point results for such contractions.
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Conclusion & Impact:Consequently, the obtained results encompass various generalizations of the Banach contraction principle.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we introduce concepts of generalized (𝛼, 𝛽) − Geraghty contraction type mappings in modular metric spaces via (𝛼, 𝛽) − admissible pair in modular metric spaces are essentially weaker than the class of 𝛼 − Geraghty contraction type mappings. We establish some fixed point and periodic point results for such contractions. Consequently, the obtained results encompass various generalizations of the Banach contraction principle.

Özet

Bu makalede 𝛼 − Geraghty daraltan tipi dönüşümlerin sınıfından daha zayıf olan (𝛼, 𝛽) −uygun çifti aracılığıyla genelleştirilmiş (𝛼, 𝛽) − Geraghty daraltan tipi dönüşüm kavramı Modüler metrik uzaylarda tanıtıldı. Bu tarz dönüşümler için bazı sabit nokta ve periyodik nokta sonuçları verildi. Sonuç olarak elde edilen sonuçlar Banach daraltan ilkesinin çeşitli genelleştirmelerini kapsar.

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Cite This Article

Aktay, M., Özdemir, M. (2022). Common Fixed Point Results for a Class of (𝜶,𝜷) −Geraghty Contraction Type Mappings in Modular Metric Spaces. Erzincan Üniversitesi Fen Bilimleri Enstitüsü Dergisi, Cilt: 13 - Sayı: Özel Sayı - 1, 150–161. https://ajindex.com/articles/650190

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References (3)

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