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Journals / Hacettepe Journal of Mathematics and Statistics / 2011 / Cilt: 40 - Sayı: 3

COUPLED FIXED POINT THEOREMS IN GENERALIZED METRIC SPACES

W. SHATANAWİ
Pages
441–447
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

In the present paper, we prove a coupled coincidence fixed point theorem in the setting of a generalized metric space in the sense of Z.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Lakshmikantham (Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis 65, 1379–1393, 2006), V.
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Key Findings & Data:Ciri´c ( ´ Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Analysis 70, (2009) 4341–4349, 2009) introduced the concept of a coupled coincidence point of a mapping F from X ×X into X and a mapping g from X into X.
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Conclusion & Impact:In the present paper, we prove a coupled coincidence fixed point theorem in the setting of a generalized metric space in the sense of Z.
🔬Design:Research Article
📍Scope:2006 Verileri
⚙️Variables:Common fixed Point · Coupled coincidence fixed point · Generalized metric space

Abstract

T. G. Bhaskar and V. Lakshmikantham (Fixed point theorems in partially ordered metric spaces and applications, Nonlinear Analysis 65, 1379–1393, 2006), V. Lakshmikantham and Lj. B. Ciri´c ( ´ Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces, Nonlinear Analysis 70, (2009) 4341–4349, 2009) introduced the concept of a coupled coincidence point of a mapping F from X ×X into X and a mapping g from X into X. In the present paper, we prove a coupled coincidence fixed point theorem in the setting of a generalized metric space in the sense of Z. Mustafa and B. Sims.

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Cite This Article

SHATANAWİ, W. (2022). COUPLED FIXED POINT THEOREMS IN GENERALIZED METRIC SPACES. Hacettepe Journal of Mathematics and Statistics, Cilt: 40 - Sayı: 3, 441–447. https://ajindex.com/articles/530559

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