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Journals / Hacettepe Journal of Mathematics and Statistics / 2017 / Cilt: 46 - Sayı: 1

Characterizations of quasi-metric completeness in terms of Kannan-type fixed point theorems

Carmen Alegre
Hacer Dağ
Salvador Romaguera
Pedro Tirado
Pages
67–76
Publication Date
2017-02-01
DOI
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⚡ TL;DR(Too Long; Didn't Read)

We obtain quasi-metric versions of Kannan's fixed point theorem for self-mappings and multivalued mappings, respectively, which are used to deduce characterizations of d-sequentially complete and of left K-sequentially complete quasi-metric spaces, respectively.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We obtain quasi-metric versions of Kannan's fixed point theorem for self-mappings and multivalued mappings, respectively, which are used to deduce characterizations of d-sequentially complete and of left K-sequentially complete quasi-metric spaces, respectively.
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Key Findings & Data:We obtain quasi-metric versions of Kannan's fixed point theorem for self-mappings and multivalued mappings, respectively, which are used to deduce characterizations of d-sequentially complete and of left K-sequentially complete quasi-metric spaces, respectively.
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Conclusion & Impact:We obtain quasi-metric versions of Kannan's fixed point theorem for self-mappings and multivalued mappings, respectively, which are used to deduce characterizations of d-sequentially complete and of left K-sequentially complete quasi-metric spaces, respectively.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Quasi-metric space · complete · Kannan mapping

Abstract

We obtain quasi-metric versions of Kannan's fixed point theorem for self-mappings and multivalued mappings, respectively, which are used to deduce characterizations of d-sequentially complete and of left K-sequentially complete quasi-metric spaces, respectively.

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Cite This Article

Alegre, C., Dağ, H., Romaguera, S., Tirado, P. (2017). Characterizations of quasi-metric completeness in terms of Kannan-type fixed point theorems. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 1, 67–76. https://ajindex.com/articles/669489

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