Exploring strong controlled partial metric type spaces: Analysis of fixed points and theoretical contributions

This study involves the generalization of partial metric spaces and strong controlled metric type spaces through the introduction of the notion of strong controlled partial metric type spaces. This research pursues a dual objective: firstly, to scrutinize fixed points related to contractions of the...

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Veröffentlicht in:Heliyon 2024-10, Vol.10 (20), p.e39525, Article e39525
Hauptverfasser: Santina, Dania, Mior Othman, Wan Ainun, Wong, Kok Bin, Mlaiki, Nabil
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Sprache:eng
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Zusammenfassung:This study involves the generalization of partial metric spaces and strong controlled metric type spaces through the introduction of the notion of strong controlled partial metric type spaces. This research pursues a dual objective: firstly, to scrutinize fixed points related to contractions of the Kannan type within the framework of strong controlled partial metric type spaces, encompassing both linear and nonlinear contractions; secondly, to furnish illustrative examples and applications that underscore the consequential implications of our theoretical contributions.
ISSN:2405-8440
2405-8440
DOI:10.1016/j.heliyon.2024.e39525