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Journals / Hacettepe Journal of Mathematics and Statistics / 2012 / Cilt: 41 - Sayı: 4

Fixed point theorems for R-weakly commuting mappings on normed vector spaces

Brian FISHER
Neeraj Anant PANDE
Sampada NAVSHINDE
J. ACHARI
Pages
467–476
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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

The off-shoot corollaries of the main result obtained here happen to be special cases which cover many results discovered by different authors.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Common fixed points of R-weakly commuting mappings on a normed vector space are obtained.
📊
Key Findings & Data:This fixed point is guaranteed under a gen- eralized and natural contraction condition and the convergence of a cer- tain inductively defined sequence of points in the normed vector space.
💡
Conclusion & Impact:The off-shoot corollaries of the main result obtained here happen to be special cases which cover many results discovered by different authors.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Common fixed points of R-weakly commuting mappings on a normed vector space are obtained. This fixed point is guaranteed under a gen- eralized and natural contraction condition and the convergence of a cer- tain inductively defined sequence of points in the normed vector space. The uniqueness of this common fixed point is also a notable feature. The off-shoot corollaries of the main result obtained here happen to be special cases which cover many results discovered by different authors.

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Cite This Article

FISHER, B., PANDE, N. A., NAVSHINDE, S., ACHARI, J. (2022). Fixed point theorems for R-weakly commuting mappings on normed vector spaces. Hacettepe Journal of Mathematics and Statistics, Cilt: 41 - Sayı: 4, 467–476. https://ajindex.com/articles/530531

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