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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 xed point theorems

Carmen ALEGRE
Hacer DAĞ
Salvador ROMAGUERA
Pedro TİRADO
Pages
67–76
Publication Date
2022-10-18
DOI
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⚡ TL;DR(Too Long; Didn't Read)

We obtain quasi-metric versions of Kannan's xed point theorem forself-mappings and multivalued mappings, respectively, which are usedto deduce characterizations of d-sequentially complete and of left Ksequentiallycomplete quasi-metric spaces, respectively.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We obtain quasi-metric versions of Kannan's xed point theorem forself-mappings and multivalued mappings, respectively, which are usedto deduce characterizations of d-sequentially complete and of left Ksequentiallycomplete quasi-metric spaces, respectively.
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Key Findings & Data:We obtain quasi-metric versions of Kannan's xed point theorem forself-mappings and multivalued mappings, respectively, which are usedto deduce characterizations of d-sequentially complete and of left Ksequentiallycomplete quasi-metric spaces, respectively.
💡
Conclusion & Impact:We obtain quasi-metric versions of Kannan's xed point theorem forself-mappings and multivalued mappings, respectively, which are usedto deduce characterizations of d-sequentially complete and of left Ksequentiallycomplete quasi-metric spaces, respectively.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

We obtain quasi-metric versions of Kannan's xed point theorem forself-mappings and multivalued mappings, respectively, which are usedto deduce characterizations of d-sequentially complete and of left Ksequentiallycomplete quasi-metric spaces, respectively.

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Cite This Article

ALEGRE, C., DAĞ, H., ROMAGUERA, S., TİRADO, P. (2022). Characterizations of quasi-metric completeness in terms of Kannan-type xed point theorems. Hacettepe Journal of Mathematics and Statistics, Cilt: 46 - Sayı: 1, 67–76. https://ajindex.com/articles/529916

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