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Journals / İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi / 2016 / Cilt: 15 - Sayı: 30

SOME COMMON FIXED POINT RESULTS FOR CONTRACTIVE MAPPINGS IN ORDERED Gp -METRIC SPACES

KISMİ SIRALI Gp-METRİK UZAYLARDA DARALMA DÖNÜŞÜMLERİ İÇİN BAZI ORTAK SABİT NOKTA SONUÇLARI

Meltem KAYA
Hasan FURKAN
Pages
1–34
Publication Date
2016-12-31
DOI
—
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AI Summary & Key Takeaways

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

The theorems obtained generalize some fixed point results existing in the literature.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this present article, the sufficient conditions for the existence and uniqueness of fixed points and common fixed points of single and double mappings satisfying various contractive conditions within the partially ordered Gp-complete Gp-metric spaces have been obtained.
📊
Key Findings & Data:Also, some examples supportingthe results obtained have been given.
💡
Conclusion & Impact:The theorems obtained generalize some fixed point results existing in the literature.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Common fixed point · Banach pairs · partially ordered pG-complete Gp-metric spaces

Abstract

In this present article, the sufficient conditions for the existence and uniqueness of fixed points and common fixed points of single and double mappings satisfying various contractive conditions within the partially ordered Gp-complete Gp-metric spaces have been obtained. Also, some examples supportingthe results obtained have been given. The theorems obtained generalize some fixed point results existing in the literature.In this present article, the sufficient conditions for the existence and uniqueness of fixed points and common fixed points of single and double mappings satisfying various contractive conditions within the partially ordered Gp-complete Gp-metric spaces have been obtained. Also, some examples supportingthe results obtained have been given. The theorems obtained generalize some fixed point results existing in the literature.

Özet

Bu çalışmada, kısmi sıralı pG-tam pG-metrik uzaylarda çeşitli daralma şartlarını sağlayan tek ve çift dönüşümlerin sabit noktalarının ve ortak sabit noktalarının varlığı ve tekliği için gerekli olan şartlar elde edilmiştir. Aynı zamanda, elde edilen sonuçları destekleyen birkaç örnek verilmiştir. Elde edilen teoremler literatürde bulunan bazı sabit nokta sonuçlarını genelleştirir.Bu çalışmada, kısmi sıralı pG-tam pG-metrik uzaylarda çeşitli daralma şartlarını sağlayan tek ve çift dönüşümlerin sabit noktalarının ve ortak sabit noktalarının varlığı ve tekliği için gerekli olan şartlar elde edilmiştir. Aynı zamanda, elde edilen sonuçları destekleyen birkaç örnek verilmiştir. Elde edilen teoremler literatürde bulunan bazı sabit nokta sonuçlarını genelleştirir.

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Cite This Article

KAYA, M., FURKAN, H. (2016). SOME COMMON FIXED POINT RESULTS FOR CONTRACTIVE MAPPINGS IN ORDERED Gp -METRIC SPACES. İstanbul Ticaret Üniversitesi Fen Bilimleri Dergisi, Cilt: 15 - Sayı: 30, 1–34. https://ajindex.com/articles/123982

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