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Journals / Advances in the Theory of Nonlinear Analysis and its Application / 2023 / Cilt: 7 Sayı: 2

Interpolative Contractive Results for $m$-Metric Spaces

Safeer Khan(Abdus Salam School of Mathematical Sciences, Government College University Lahore)0000-0003-2978-1974
Ali Raza(Abdus Salam School of Mathematical Sciences, Government College University Lahore)0000-0002-0616-8520
Pages
336–347
Publication Date
2023-07-23
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Finally we note that our results generalize results of [3], [4] and [5] from ordinary metric to m- and p-metrics.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we initiate the study of fixed points for interpolative mappings in m-metric spaces.
📊
Key Findings & Data:We discuss three different cases: the sum of interpolative exponents" is less than, equal to or greater than 1.
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Conclusion & Impact:Finally we note that our results generalize results of [3], [4] and [5] from ordinary metric to m- and p-metrics.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:$m$-metric · $p$-metric · Fixed point

Abstract

In this paper, we initiate the study of fixed points for interpolative mappings in m-metric spaces. We discuss three different cases: the sum of interpolative exponents" is less than, equal to or greater than 1. We support each of our result by examples in m-metric spaces. In the last section, we obtain our results in p-metric spaces. Finally we note that our results generalize results of [3], [4] and [5] from ordinary metric to m- and p-metrics.

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Cite This Article

Khan, S., Raza, A. (2023). Interpolative Contractive Results for $m$-Metric Spaces. Advances in the Theory of Nonlinear Analysis and its Application, Cilt: 7 Sayı: 2, 336–347. https://doi.org/10.31197/atnaa.1220114

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