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Journals / Sigma Journal of Engineering and Natural Sciences / 2026 / Volume: 38 Issue: 3

ON STABILITY OF SOME INTEGRAL EQUATIONS IN 2-BANACH SPACES

El-sayed El-hady(Mathematics Department, College of Science, Jouf University)0000-0002-4955-0842
Süleyman Öğrekçi(Department of Mathematics, Amasya University)0000-0003-1205-6848
Pages
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Publication Date
2021-10-05
DOI
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AI Summary & Key Takeaways

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

In this way, we obtain results in 2-Banach Spaces.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The objective of this article is to investigate the Ulam-Hyres stability and Ulam-Hyres-Rassias stability for some general integral equations f(x)=∫_E F(x,f(x))dx, x∈E, where E is a nonempty set of a Banach space.
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Key Findings & Data:The main tool used in the analysis is a recent fixed point theory.
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Conclusion & Impact:In this way, we obtain results in 2-Banach Spaces.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Ulam stability · integral equation · fixed point theory

Abstract

The objective of this article is to investigate the Ulam-Hyres stability and Ulam-Hyres-Rassias stability for some general integral equations f(x)=∫_E F(x,f(x))dx, x∈E, where E is a nonempty set of a Banach space. The main tool used in the analysis is a recent fixed point theory. In this way, we obtain results in 2-Banach Spaces.

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Cite This Article

El-hady, E., Öğrekçi, S. (2021). ON STABILITY OF SOME INTEGRAL EQUATIONS IN 2-BANACH SPACES. Sigma Journal of Engineering and Natural Sciences, Volume: 38 Issue: 3. https://ajindex.com/articles/1632559

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