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Journals / Hacettepe Journal of Mathematics and Statistics / 2013 / Cilt: 42 - Sayı: 4

A Coupled Fixed Point Result in Partially Ordered Partial Metric Spaces Through Implicit Function

Selma GÜLYAZ
Erdal KARAPINAR
Pages
347–357
Publication Date
2013-04-01
DOI
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AI Summary & Key Takeaways

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

We also state an example to illustrate our work.

📌 3 Key Takeaways

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Objective & Hypothesis:In this manuscript, we discuss the existence of coupled fixed points inthe context of partially ordered metric spaces through implicit relationsfor mappings F : X× X → X such that F has the mixed monotoneproperty.
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Key Findings & Data:Our main theorem improves and extends various results inthe literature.
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Conclusion & Impact:We also state an example to illustrate our work.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Coupled fixed point · Mixed monotone property · Implicit relation

Abstract

In this manuscript, we discuss the existence of coupled fixed points inthe context of partially ordered metric spaces through implicit relationsfor mappings F : X× X → X such that F has the mixed monotoneproperty. Our main theorem improves and extends various results inthe literature. We also state an example to illustrate our work.

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Cite This Article

GÜLYAZ, S., KARAPINAR, E. (2013). A Coupled Fixed Point Result in Partially Ordered Partial Metric Spaces Through Implicit Function. Hacettepe Journal of Mathematics and Statistics, Cilt: 42 - Sayı: 4, 347–357. https://ajindex.com/articles/669596

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