Some Fixed Point Theorems in Complete Neutrosophic Metric Spaces for Neutrosophic ψ-Quasi Contractions

Fixed point theory is a fundamental tool in mathematics and numerous scientific fields. This study employs the concept of neutrosophic metric spaces as defined by Kiri¸sci and S¸im¸sek to introduce fixed point theorems related to neutrosophic ψ-quasi contractions. We demonstrate that each ψ-quasi co...

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Bibliographic Details
Main Authors: Anwar Bataihah, Ayman. A Hazaymeh, Yousef Al-Qudah, Faisal Al-Sharqi
Format: Article
Language:English
Published: University of New Mexico 2025-05-01
Series:Neutrosophic Sets and Systems
Subjects:
Online Access:https://fs.unm.edu/NSS/1MetricSpaces.pdf
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Summary:Fixed point theory is a fundamental tool in mathematics and numerous scientific fields. This study employs the concept of neutrosophic metric spaces as defined by Kiri¸sci and S¸im¸sek to introduce fixed point theorems related to neutrosophic ψ-quasi contractions. We demonstrate that each ψ-quasi contractions possesses a unique fixed point, provided the fuzzy sets are continuous. Additionally, we provide some examples to illustrate our primary theorem. Moreover, we derive several fixed point results based on the main theorem.
ISSN:2331-6055
2331-608X