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Journals / Konuralp Journal of Mathematics / 2026 / Volume: 8 Issue: 1

Some Global Optimality Results using the Contractive Conditions of Integral Type

Nihal Taş(BALIKESİR ÜNİVERSİTESİ)0000-0002-4535-4019
Nihal Yılmaz Özgür(BALIKESİR ÜNİVERSİTESİ)0000-0002-8152-1830
Pages
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Publication Date
2020-04-15
DOI
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AI Summary & Key Takeaways

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

Also an illustrative example is given.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper we establish new best proximity point theorems considering a classical global optimization problem of finding the minimum distance between pairs of closed sets using the contractive conditions of integral type on a complete metric space.
📊
Key Findings & Data:These results can be used to find optimal approximate solutions by means of some contractive conditions of integral type.
💡
Conclusion & Impact:Also an illustrative example is given.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:global optimality · best proximity point · integral type

Abstract

In this paper we establish new best proximity point theorems considering a classical global optimization problem of finding the minimum distance between pairs of closed sets using the contractive conditions of integral type on a complete metric space. These results can be used to find optimal approximate solutions by means of some contractive conditions of integral type. Also an illustrative example is given.

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Cite This Article

Taş, N., Özgür, N. Y. (2020). Some Global Optimality Results using the Contractive Conditions of Integral Type. Konuralp Journal of Mathematics, Volume: 8 Issue: 1. https://ajindex.com/articles/1521668

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