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Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 3

Fixed point theory on spaces with vector-valued metrics and application

Bazine SAFİA
Ellaggoune FATEH
Aliouche ABDELKRİM
Pages
419–426
Publication Date
2022-10-18
DOI
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AI Summary & Key Takeaways

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

An application is presented for a system of operatorial equations.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The purpose of this work is to prove some common fixed point theorems for two operators on a set endowed with one or two vector-valued metrics.
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Key Findings & Data:The use of vector-valued metrics makes it possible for each equation of a system to have its own Lipschitz property, while the use of two such metrics makes it possible for the Lipschitz condition to be expressed with respect to an incomplete metric.
💡
Conclusion & Impact:An application is presented for a system of operatorial equations.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fixed point · vector-valued metric · matrix convergent to zero

Abstract

The purpose of this work is to prove some common fixed point theorems for two operators on a set endowed with one or two vector-valued metrics. The use of vector-valued metrics makes it possible for each equation of a system to have its own Lipschitz property, while the use of two such metrics makes it possible for the Lipschitz condition to be expressed with respect to an incomplete metric. An application is presented for a system of operatorial equations.

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Cite This Article

SAFİA, B., FATEH, E., ABDELKRİM, A. (2022). Fixed point theory on spaces with vector-valued metrics and application. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 3, 419–426. https://ajindex.com/articles/529919

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References (9)

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