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Journals / Journal of New Theory / 2020 / Sayı: 31

On Generalized Contraction Principles over S-metric Spaces with Application to Homotopy

Debashis DEY
Kushal ROY
Mantu SAHA
Pages
95–103
Publication Date
2020-06-30
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

Moreover, the result is applied to homotopy theory. -

📌 3 Key Takeaways

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Objective & Hypothesis:In the present paper, we introduce the concept of a class of generalized contraction mappings called A-contraction on S-metric space and investigate the existence of fixed points over such spaces.
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Key Findings & Data:Analogue result has been formulated in integral setting over such an S-metric space.
💡
Conclusion & Impact:Moreover, the result is applied to homotopy theory. -
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Fixed point · A-contraction · S-metric space

Abstract

In the present paper, we introduce the concept of a class of generalized contraction mappings called A-contraction on S-metric space and investigate the existence of fixed points over such spaces. Analogue result has been formulated in integral setting over such an S-metric space. Moreover, the result is applied to homotopy theory. -

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Cite This Article

DEY, D., ROY, K., SAHA, M. (2020). On Generalized Contraction Principles over S-metric Spaces with Application to Homotopy. Journal of New Theory, Sayı: 31, 95–103. https://ajindex.com/articles/681502

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