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

Anwar Bataihah; Ayman. A Hazaymeh; Yousef Al-Qudah; Faisal Al-Sharqi

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

Authors

Anwar Bataihah Department of Mathematics, Faculty of Science, Jadara University, Irbid 21110, Jordan;
Ayman. A Hazaymeh Department of Mathematics, Faculty of Science, Jadara University, Irbid 21110, Jordan;
Yousef Al-Qudah Mathematics Department, College of Arts and Sciences, Amman Arab University, Amman, Jordan;
Faisal Al-Sharqi Department of Mathematics, Faculty of Education for Pure Sciences, University of Anbar, Ramadi, 55431, Iraq;

Keywords:

Fixed point; ψ-Quasi-contractions; Banach contraction principle; Chatterjea contractions; Kannan contractions; Neutrosophic metric; Quasi-contraction; Non-linear contractions

Abstract

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.

DOI: 10.5281/zenodo.14960868

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Published

2025-05-01

Issue

Vol. 82 (2025): Neutrosophic Sets and Systems

Section

Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Creative Commons Attribution (CC BY) license.

How to Cite

Anwar Bataihah, Ayman. A Hazaymeh, Yousef Al-Qudah, & Faisal Al-Sharqi. (2025). Some Fixed Point Theorems in Complete Neutrosophic Metric Spaces for Neutrosophic ψ-Quasi Contractions. Neutrosophic Sets and Systems, 82, 1-16. https://fs.unm.edu/nss8/index.php/111/article/view/5973