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Journals / Sigma Mühendislik ve Fen Bilimleri Dergisi / 2018 / Cilt: 36 - Sayı: 2

COMMON COUPLED FIXED POINT THEOREMS FOR GENERALIZED NONLINEAR CONTRACTIONS ON METRIC SPACES INVOLVING A GRAPH

Esra YOLAÇAN
Pradip DEBNATH
Mehmet Ali AKTÜRK
Pages
419–432
Publication Date
2018-06-01
DOI
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AI Summary & Key Takeaways

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

Furthermore, an application to integral equations is presented to affirm the importance.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:New generalized forms of Banach and Kannan type contractions have been described and some coupled coincidence and coupled common fixed point results have been established in the setting of metric space involving a graph.
📊
Key Findings & Data:Our theorems extend and generalize many existing results in the literature.
💡
Conclusion & Impact:Furthermore, an application to integral equations is presented to affirm the importance.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Coupled coincidence point · coupled fixed point · metric space

Abstract

New generalized forms of Banach and Kannan type contractions have been described and some coupled coincidence and coupled common fixed point results have been established in the setting of metric space involving a graph. Our theorems extend and generalize many existing results in the literature. Furthermore, an application to integral equations is presented to affirm the importance.

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Cite This Article

YOLAÇAN, E., DEBNATH, P., AKTÜRK, M. A. (2018). COMMON COUPLED FIXED POINT THEOREMS FOR GENERALIZED NONLINEAR CONTRACTIONS ON METRIC SPACES INVOLVING A GRAPH. Sigma Mühendislik ve Fen Bilimleri Dergisi, Cilt: 36 - Sayı: 2, 419–432. https://ajindex.com/articles/419177

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