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Journals / Results in Nonlinear Analysis / 2026 / 2022 - Cilt 5, Sayı 4

GERAGHTY PROXIMAL CONTRACTION TYPE MAPPINGS AND RJ-PROPERTY IN bv(s) -METRIC SPACES

Leta Bekere Kumssa(Madda Walabu University)0000-0001-6908-0203
Pages
487–498
Publication Date
2022-12-30
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AI Summary & Key Takeaways

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

The results presented here extend, generalize, and integrate many previous results in the literature.

📌 3 Key Takeaways

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Objective & Hypothesis:In this article, we will determine the best proximity point results for the Geraghty proximal contraction type mappings in a more general space called the bv(s)-metric space, and prove the existence of the best proximity point for such mappings which satisfy the RJ-Property.
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Key Findings & Data:We also derive some consequences as a justification for the validity of the main result.
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Conclusion & Impact:The results presented here extend, generalize, and integrate many previous results in the literature.
🔬Design:Araştırma Makalesi
📍Scope:Comprehensive Sample
⚙️Variables:best proximity point · Geraghty proximal contraction · RJ-Property

Abstract

In this article, we will determine the best proximity point results for the Geraghty proximal contraction type mappings in a more general space called the bv(s)-metric space, and prove the existence of the best proximity point for such mappings which satisfy the RJ-Property. We also derive some consequences as a justification for the validity of the main result. The results presented here extend, generalize, and integrate many previous results in the literature.

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Cite This Article

Kumssa, L. B. (2022). GERAGHTY PROXIMAL CONTRACTION TYPE MAPPINGS AND RJ-PROPERTY IN bv(s) -METRIC SPACES. Results in Nonlinear Analysis, 2022 - Cilt 5, Sayı 4, 487–498. https://doi.org/10.53006/rna.1065458

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